398577568900 has 243 divisors, whose sum is σ = 1045375225167. Its totient is φ = 131518665600.

The previous prime is 398577568889. The next prime is 398577568979. The reversal of 398577568900 is 9865775893.

The square root of 398577568900 is 631330.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5478664324 + 393098904576 = 74018^2 + 626976^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1281599745 + ... + 1281600055.

Almost surely, 2^398577568900 is an apocalyptic number.

398577568900 is the 631330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398577568900

398577568900 is an abundant number, since it is smaller than the sum of its proper divisors (646797656267).

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

398577568900 is a wasteful number, since it uses less digits than its factorization.

398577568900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 67.

The spelling of 398577568900 in words is "three hundred ninety-eight billion, five hundred seventy-seven million, five hundred sixty-eight thousand, nine hundred".