465785120 has 48 divisors (see below), whose sum is σ = 1102429440. Its totient is φ = 185973504.

The previous prime is 465785093. The next prime is 465785161. The reversal of 465785120 is 21587564.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96689 + ... + 101391.

It is an arithmetic number, because the mean of its divisors is an integer number (22967280).

Almost surely, 2^465785120 is an apocalyptic number.

465785120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

465785120 is an abundant number, since it is smaller than the sum of its proper divisors (636644320).

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

465785120 is a wasteful number, since it uses less digits than its factorization.

465785120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5337 (or 5329 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 38.

The square root of 465785120 is about 21582.0555091493. The cubic root of 465785120 is about 775.1668707617.

The spelling of 465785120 in words is "four hundred sixty-five million, seven hundred eighty-five thousand, one hundred twenty".