398100 has 36 divisors (see below), whose sum is σ = 1152704. Its totient is φ = 106080.

The previous prime is 398087. The next prime is 398113. The reversal of 398100 is 1893.

It is an interprime number because it is at equal distance from previous prime (398087) and next prime (398113).

It is a super-2 number, since 2×398100² = 316967220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

398100 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 364 + ... + 963.

2³⁹⁸¹⁰⁰ is an apocalyptic number.

398100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

398100 is an abundant number, since it is smaller than the sum of its proper divisors (754604).

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

398100 is a wasteful number, since it uses less digits than its factorization.

398100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 398100 is about 630.9516621739. The cubic root of 398100 is about 73.5637837731.

Adding to 398100 its reverse (1893), we get a palindrome (399993).

The spelling of 398100 in words is "three hundred ninety-eight thousand, one hundred".