465878080 has 56 divisors (see below), whose sum is σ = 1136462040. Its totient is φ = 181800960.

The previous prime is 465878071. The next prime is 465878117. The reversal of 465878080 is 80878564.

It can be written as a sum of positive squares in 4 ways, for example, as 16777216 + 449100864 = 4096^2 + 21192^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 465878080.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4635 + ... + 30874.

It is an arithmetic number, because the mean of its divisors is an integer number (20293965).

Almost surely, 2^465878080 is an apocalyptic number.

465878080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

465878080 is an abundant number, since it is smaller than the sum of its proper divisors (670583960).

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

465878080 is a wasteful number, since it uses less digits than its factorization.

465878080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35567 (or 35557 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 46.

The square root of 465878080 is about 21584.2090427238. The cubic root of 465878080 is about 775.2184358260.

The spelling of 465878080 in words is "four hundred sixty-five million, eight hundred seventy-eight thousand, eighty".