465770560 has 56 divisors (see below), whose sum is σ = 1167505920. Its totient is φ = 176500224.

The previous prime is 465770551. The next prime is 465770561. The reversal of 465770560 is 65077564.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (465770561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32224 + ... + 44383.

It is an arithmetic number, because the mean of its divisors is an integer number (20848320).

Almost surely, 2^465770560 is an apocalyptic number.

465770560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

465770560 is an abundant number, since it is smaller than the sum of its proper divisors (701735360).

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

465770560 is a wasteful number, since it uses less digits than its factorization.

465770560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76643 (or 76633 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 40.

The square root of 465770560 is about 21581.7181892453. The cubic root of 465770560 is about 775.1587936844.

The spelling of 465770560 in words is "four hundred sixty-five million, seven hundred seventy thousand, five hundred sixty".