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484074468 = 22352359367
BaseRepresentation
bin11100110110100…
…110001111100100
31020201212112100000
4130312212033210
51442410340333
6120011221300
714665364553
oct3466461744
91221775300
10484074468
1122927a349
12116147830
137939a3c7
144840bd9a
152c76e713
hex1cda63e4

484074468 has 144 divisors (see below), whose sum is σ = 1350236160. Its totient is φ = 151313184.

The previous prime is 484074463. The next prime is 484074469. The reversal of 484074468 is 864470484.

It is not an unprimeable number, because it can be changed into a prime (484074463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1318821 + ... + 1319187.

It is an arithmetic number, because the mean of its divisors is an integer number (9376640).

Almost surely, 2484074468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484074468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675118080).

484074468 is an abundant number, since it is smaller than the sum of its proper divisors (866161692).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

484074468 is a wasteful number, since it uses less digits than its factorization.

484074468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The square root of 484074468 is about 22001.6923894504. The cubic root of 484074468 is about 785.1827061979.

The spelling of 484074468 in words is "four hundred eighty-four million, seventy-four thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 59 69 81 92 108 118 138 162 177 207 236 243 276 324 354 367 414 486 531 621 708 734 828 972 1062 1101 1242 1357 1468 1593 1863 2124 2202 2484 2714 3186 3303 3726 4071 4404 4779 5428 5589 6372 6606 7452 8142 8441 9558 9909 11178 12213 13212 14337 16284 16882 19116 19818 21653 22356 24426 25323 28674 29727 33764 36639 39636 43306 48852 50646 57348 59454 64959 73278 75969 86612 89181 101292 109917 118908 129918 146556 151938 178362 194877 219834 227907 259836 303876 329751 356724 389754 439668 455814 498019 584631 659502 683721 779508 911628 996038 1169262 1319004 1367442 1494057 1753893 1992076 2051163 2338524 2734884 2988114 3507786 4102326 4482171 5261679 5976228 7015572 8204652 8964342 10523358 13446513 17928684 21046716 26893026 40339539 53786052 80679078 121018617 161358156 242037234 484074468