465013920 has 288 divisors, whose sum is σ = 1805727168. Its totient is φ = 99950592.

The previous prime is 465013909. The next prime is 465013963. The reversal of 465013920 is 29310564.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 399259 + ... + 400421.

It is an arithmetic number, because the mean of its divisors is an integer number (6269886).

Almost surely, 2^465013920 is an apocalyptic number.

465013920 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 465013920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902863584).

465013920 is an abundant number, since it is smaller than the sum of its proper divisors (1340713248).

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

465013920 is a wasteful number, since it uses less digits than its factorization.

465013920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 465013920 is about 21564.1814127038. The cubic root of 465013920 is about 774.7388200725.

The spelling of 465013920 in words is "four hundred sixty-five million, thirteen thousand, nine hundred twenty".