465755520 has 256 divisors, whose sum is σ = 1586304000. Its totient is φ = 115974144.

The previous prime is 465755483. The next prime is 465755567. The reversal of 465755520 is 25557564.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2340381 + ... + 2340579.

It is an arithmetic number, because the mean of its divisors is an integer number (6196500).

Almost surely, 2^465755520 is an apocalyptic number.

465755520 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 465755520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793152000).

465755520 is an abundant number, since it is smaller than the sum of its proper divisors (1120548480).

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

465755520 is a wasteful number, since it uses less digits than its factorization.

465755520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 210000, while the sum is 39.

The square root of 465755520 is about 21581.3697433689. The cubic root of 465755520 is about 775.1504501531.

The spelling of 465755520 in words is "four hundred sixty-five million, seven hundred fifty-five thousand, five hundred twenty".