465625512 has 96 divisors (see below), whose sum is σ = 1456678080. Its totient is φ = 132794880.

The previous prime is 465625507. The next prime is 465625519. The reversal of 465625512 is 215526564.

465625512 is a `hidden beast` number, since 46 + 5 + 62 + 551 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (465625519) 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 23 ways as a sum of consecutive naturals, for example, 3828 + ... + 30755.

It is an arithmetic number, because the mean of its divisors is an integer number (15173730).

Almost surely, 2^465625512 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 465625512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728339040).

465625512 is an abundant number, since it is smaller than the sum of its proper divisors (991052568).

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

465625512 is a wasteful number, since it uses less digits than its factorization.

465625512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34623 (or 34616 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 465625512 is about 21578.3574907823. The cubic root of 465625512 is about 775.0783199378.

The spelling of 465625512 in words is "four hundred sixty-five million, six hundred twenty-five thousand, five hundred twelve".