465028520 has 128 divisors (see below), whose sum is σ = 1193287680. Its totient is φ = 161568000.

The previous prime is 465028517. The next prime is 465028537. The reversal of 465028520 is 25820564.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1404755 + ... + 1405085.

It is an arithmetic number, because the mean of its divisors is an integer number (9322560).

Almost surely, 2^465028520 is an apocalyptic number.

465028520 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 465028520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596643840).

465028520 is an abundant number, since it is smaller than the sum of its proper divisors (728259160).

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

465028520 is a wasteful number, since it uses less digits than its factorization.

465028520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 465028520 is about 21564.5199343737. The cubic root of 465028520 is about 774.7469281225.

The spelling of 465028520 in words is "four hundred sixty-five million, twenty-eight thousand, five hundred twenty".