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474989760 = 26325723561
BaseRepresentation
bin11100010011111…
…100010011000000
31020002202222110100
4130103330103000
51433044133020
6115044402400
714525226540
oct3423742300
91202688410
10474989760
11224134923
121130a6400
137753933b
1447125320
152ba77a90
hex1c4fc4c0

474989760 has 168 divisors, whose sum is σ = 1867241376. Its totient is φ = 108564480.

The previous prime is 474989731. The next prime is 474989771. The reversal of 474989760 is 67989474.

It is a happy number.

474989760 is a `hidden beast` number, since 4 + 7 + 498 + 97 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 474989697 and 474989706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8380 + ... + 31940.

It is an arithmetic number, because the mean of its divisors is an integer number (11114532).

Almost surely, 2474989760 is an apocalyptic number.

474989760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 474989760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933620688).

474989760 is an abundant number, since it is smaller than the sum of its proper divisors (1392251616).

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

474989760 is a wasteful number, since it uses less digits than its factorization.

474989760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23591 (or 23578 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 474989760 is about 21794.2597947258. The cubic root of 474989760 is about 780.2397684978.

The spelling of 474989760 in words is "four hundred seventy-four million, nine hundred eighty-nine thousand, seven hundred sixty".