398162400 has 72 divisors (see below), whose sum is σ = 1296026424. Its totient is φ = 106176000.

The previous prime is 398162383. The next prime is 398162437. The reversal of 398162400 is 4261893.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80551 + ... + 85350.

It is an arithmetic number, because the mean of its divisors is an integer number (18000367).

Almost surely, 2^398162400 is an apocalyptic number.

398162400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

398162400 is an abundant number, since it is smaller than the sum of its proper divisors (897864024).

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

398162400 is a wasteful number, since it uses less digits than its factorization.

398162400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165924 (or 165911 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 398162400 is about 19954.0071163664. The cubic root of 398162400 is about 735.6762714605.

It can be divided in two parts, 39816 and 2400, that multiplied together give a triangular number (95558400 = T₁₃₈₂₄).

The spelling of 398162400 in words is "three hundred ninety-eight million, one hundred sixty-two thousand, four hundred".