360264048400 has 45 divisors (see below), whose sum is σ = 865563217813. Its totient is φ = 144100817600.

The previous prime is 360264048379. The next prime is 360264048413. The reversal of 360264048400 is 4840462063.

The square root of 360264048400 is 600220.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 129695057424 + 230568990976 = 360132^2 + 480176^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 360264048400.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11989395 + ... + 12019405.

Almost surely, 2^360264048400 is an apocalyptic number.

360264048400 is the 600220-th square number.

It is an amenable number.

360264048400 is an abundant number, since it is smaller than the sum of its proper divisors (505299169413).

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

360264048400 is an frugal number, since it uses more digits than its factorization.

360264048400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60040 (or 30018 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 37.

The spelling of 360264048400 in words is "three hundred sixty billion, two hundred sixty-four million, forty-eight thousand, four hundred".