398931192100 has 135 divisors (see below), whose sum is σ = 1010684793587. Its totient is φ = 136670298240.

The previous prime is 398931192073. The next prime is 398931192137. The reversal of 398931192100 is 1291139893.

The square root of 398931192100 is 631610.

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 14838650596 + 384092541504 = 121814^2 + 619752^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 309488256 + ... + 309489544.

Almost surely, 2^398931192100 is an apocalyptic number.

398931192100 is the 631610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398931192100

398931192100 is an abundant number, since it is smaller than the sum of its proper divisors (611753601487).

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

398931192100 is an frugal number, since it uses more digits than its factorization.

398931192100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2620 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 46.

The spelling of 398931192100 in words is "three hundred ninety-eight billion, nine hundred thirty-one million, one hundred ninety-two thousand, one hundred".