398883100 has 72 divisors (see below), whose sum is σ = 1079180928. Its totient is φ = 124324800.

The previous prime is 398883097. The next prime is 398883101. The reversal of 398883100 is 1388893.

It is a super-2 number, since 2×398883100² = 318215454931220000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398883101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18202 + ... + 33601.

It is an arithmetic number, because the mean of its divisors is an integer number (14988624).

Almost surely, 2^398883100 is an apocalyptic number.

It is an amenable number.

398883100 is an abundant number, since it is smaller than the sum of its proper divisors (680297828).

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

398883100 is a wasteful number, since it uses less digits than its factorization.

398883100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51835 (or 51828 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 398883100 is about 19972.0579810895. The cubic root of 398883100 is about 736.1198779806.

The spelling of 398883100 in words is "three hundred ninety-eight million, eight hundred eighty-three thousand, one hundred".