460413440 has 40 divisors (see below), whose sum is σ = 1103919300. Its totient is φ = 184164352.

The previous prime is 460413439. The next prime is 460413463. The reversal of 460413440 is 44314064.

It can be written as a sum of positive squares in 2 ways, for example, as 430645504 + 29767936 = 20752^2 + 5456^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 87365 + ... + 92484.

Almost surely, 2^460413440 is an apocalyptic number.

460413440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

460413440 is an abundant number, since it is smaller than the sum of its proper divisors (643505860).

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

460413440 is an equidigital number, since it uses as much as digits as its factorization.

460413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179872 (or 179856 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 460413440 is about 21457.2467944981. The cubic root of 460413440 is about 772.1754637097.

The spelling of 460413440 in words is "four hundred sixty million, four hundred thirteen thousand, four hundred forty".