465695520 has 96 divisors (see below), whose sum is σ = 1485630720. Its totient is φ = 122603520.

The previous prime is 465695519. The next prime is 465695521. The reversal of 465695520 is 25596564.

It is an interprime number because it is at equal distance from previous prime (465695519) and next prime (465695521).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (465695521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31780 + ... + 44060.

It is an arithmetic number, because the mean of its divisors is an integer number (15475320).

Almost surely, 2^465695520 is an apocalyptic number.

465695520 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 465695520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742815360).

465695520 is an abundant number, since it is smaller than the sum of its proper divisors (1019935200).

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

465695520 is a wasteful number, since it uses less digits than its factorization.

465695520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12378 (or 12370 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The square root of 465695520 is about 21579.9796107411. The cubic root of 465695520 is about 775.1171630012.

The spelling of 465695520 in words is "four hundred sixty-five million, six hundred ninety-five thousand, five hundred twenty".