465215921520 has 160 divisors (see below), whose sum is σ = 1681830451200. Its totient is φ = 106335048960.

The previous prime is 465215921473. The next prime is 465215921581. The reversal of 465215921520 is 25129512564.

It is a super-2 number, since 2×465215921520² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 2743336 + ... + 2907975.

It is an arithmetic number, because the mean of its divisors is an integer number (10511440320).

Almost surely, 2^465215921520 is an apocalyptic number.

465215921520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

465215921520 is an abundant number, since it is smaller than the sum of its proper divisors (1216614529680).

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

465215921520 is a wasteful number, since it uses less digits than its factorization.

465215921520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5651348 (or 5651328 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The spelling of 465215921520 in words is "four hundred sixty-five billion, two hundred fifteen million, nine hundred twenty-one thousand, five hundred twenty".