398072664900 has 81 divisors (see below), whose sum is σ = 1247795984253. Its totient is φ = 106147663200.

The previous prime is 398072664863. The next prime is 398072664911. The reversal of 398072664900 is 9466270893.

It is a happy number.

The square root of 398072664900 is 630930.

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

398072664900 is a `hidden beast` number, since 3 + 9 + 80 + 72 + 6 + 6 + 490 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 143306159364 + 254766505536 = 378558^2 + 504744^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18917385 + ... + 18938415.

Almost surely, 2^398072664900 is an apocalyptic number.

398072664900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

398072664900 is the 630930-th square number.

It is an amenable number.

398072664900 is an abundant number, since it is smaller than the sum of its proper divisors (849723319353).

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

398072664900 is an equidigital number, since it uses as much as digits as its factorization.

398072664900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42082 (or 21041 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 398072664900 in words is "three hundred ninety-eight billion, seventy-two million, six hundred sixty-four thousand, nine hundred".