361431360 has 84 divisors (see below), whose sum is σ = 1243183188. Its totient is φ = 96380928.

The previous prime is 361431353. The next prime is 361431377. The reversal of 361431360 is 63134163.

It can be written as a sum of positive squares in 2 ways, for example, as 197796096 + 163635264 = 14064^2 + 12792^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59869 + ... + 65628.

Almost surely, 2^361431360 is an apocalyptic number.

361431360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

361431360 is an abundant number, since it is smaller than the sum of its proper divisors (881751828).

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

361431360 is a wasteful number, since it uses less digits than its factorization.

361431360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125520 (or 125507 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 361431360 is about 19011.3481899628. The cubic root of 361431360 is about 712.3202279601.

The spelling of 361431360 in words is "three hundred sixty-one million, four hundred thirty-one thousand, three hundred sixty".