465515520 has 88 divisors (see below), whose sum is σ = 1488971424. Its totient is φ = 124133376.

The previous prime is 465515509. The next prime is 465515521. The reversal of 465515520 is 25515564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465515521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 207 + ... + 30513.

Almost surely, 2^465515520 is an apocalyptic number.

465515520 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 465515520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744485712).

465515520 is an abundant number, since it is smaller than the sum of its proper divisors (1023455904).

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

465515520 is a wasteful number, since it uses less digits than its factorization.

465515520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30335 (or 30317 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 33.

The square root of 465515520 is about 21575.8086754587. The cubic root of 465515520 is about 775.0172843873.

The spelling of 465515520 in words is "four hundred sixty-five million, five hundred fifteen thousand, five hundred twenty".