| Base | Representation |
|---|---|
| bin | 11100101001110… |
| … | …111000101111100 |
| 3 | 1020111120220021200 |
| 4 | 130221313011330 |
| 5 | 1441032014422 |
| 6 | 115411455500 |
| 7 | 14625120360 |
| oct | 3451670574 |
| 9 | 1214526250 |
| 10 | 480735612 |
| 11 | 2273a9865 |
| 12 | 114bb7590 |
| 13 | 7879b756 |
| 14 | 47bbd2a0 |
| 15 | 2c3102ac |
| hex | 1ca7717c |
480735612 has 72 divisors (see below), whose sum is σ = 1391566176. Its totient is φ = 137078784.
The previous prime is 480735559. The next prime is 480735613. The reversal of 480735612 is 216537084.
480735612 is a `hidden beast` number, since 4 + 8 + 0 + 7 + 35 + 612 = 666.
It is a super-3 number, since 3×4807356123 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (480735613) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147828 + ... + 151044.
It is an arithmetic number, because the mean of its divisors is an integer number (19327308).
Almost surely, 2480735612 is an apocalyptic number.
480735612 is a gapful number since it is divisible by the number (42) 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 480735612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695783088).
480735612 is an abundant number, since it is smaller than the sum of its proper divisors (910830564).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
480735612 is a wasteful number, since it uses less digits than its factorization.
480735612 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3827 (or 3822 counting only the distinct ones).
The product of its (nonzero) digits is 40320, while the sum is 36.
The square root of 480735612 is about 21925.6838433833. The cubic root of 480735612 is about 783.3732995855.
The spelling of 480735612 in words is "four hundred eighty million, seven hundred thirty-five thousand, six hundred twelve".
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