460057120 has 48 divisors (see below), whose sum is σ = 1104726168. Its totient is φ = 181002240.

The previous prime is 460057099. The next prime is 460057123. The reversal of 460057120 is 21750064.

It can be written as a sum of positive squares in 4 ways, for example, as 79495056 + 380562064 = 8916^2 + 19508^2 .

It is not an unprimeable number, because it can be changed into a prime (460057123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13809 + ... + 33328.

Almost surely, 2^460057120 is an apocalyptic number.

460057120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

460057120 is an abundant number, since it is smaller than the sum of its proper divisors (644669048).

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

460057120 is a wasteful number, since it uses less digits than its factorization.

460057120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47213 (or 47205 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 460057120 is about 21448.9421650579. The cubic root of 460057120 is about 771.9762133937.

The spelling of 460057120 in words is "four hundred sixty million, fifty-seven thousand, one hundred twenty".