401845160 has 32 divisors (see below), whose sum is σ = 928591560. Its totient is φ = 156393216.

The previous prime is 401845153. The next prime is 401845181. The reversal of 401845160 is 61548104.

It can be written as a sum of positive squares in 4 ways, for example, as 289612324 + 112232836 = 17018^2 + 10594^2 .

It is a super-2 number, since 2×401845160² = 322959065230851200, which contains 22 as substring.

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, 134279 + ... + 137238.

Almost surely, 2^401845160 is an apocalyptic number.

401845160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401845160 is an abundant number, since it is smaller than the sum of its proper divisors (526746400).

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

401845160 is a wasteful number, since it uses less digits than its factorization.

401845160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271565 (or 271561 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 401845160 is about 20046.0759252279. The cubic root of 401845160 is about 737.9375000623.

The spelling of 401845160 in words is "four hundred one million, eight hundred forty-five thousand, one hundred sixty".