| Base | Representation |
|---|---|
| bin | 11011110000100… |
| … | …011011101000000 |
| 3 | 1012110022200002011 |
| 4 | 123300203131000 |
| 5 | 1423210303320 |
| 6 | 114113502304 |
| 7 | 14353331506 |
| oct | 3360433500 |
| 9 | 1173280064 |
| 10 | 465712960 |
| 11 | 219979049 |
| 12 | 10bb71994 |
| 13 | 7563b9cb |
| 14 | 45bcc676 |
| 15 | 2ad4405a |
| hex | 1bc23740 |
465712960 has 112 divisors (see below), whose sum is σ = 1194937920. Its totient is φ = 172236800.
The previous prime is 465712957. The next prime is 465712963. The reversal of 465712960 is 69217564.
It is an interprime number because it is at equal distance from previous prime (465712957) and next prime (465712963).
It is a super-2 number, since 2×4657129602 = 433777122223923200, which contains 22 as substring.
It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (40).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (465712963) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 320235 + ... + 321685.
Almost surely, 2465712960 is an apocalyptic number.
465712960 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 465712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597468960).
465712960 is an abundant number, since it is smaller than the sum of its proper divisors (729224960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
465712960 is a wasteful number, since it uses less digits than its factorization.
465712960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1544 (or 1534 counting only the distinct ones).
The product of its (nonzero) digits is 90720, while the sum is 40.
The square root of 465712960 is about 21580.3836851897. The cubic root of 465712960 is about 775.1268387614.
The spelling of 465712960 in words is "four hundred sixty-five million, seven hundred twelve thousand, nine hundred sixty".
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