398692800 has 336 divisors, whose sum is σ = 1587398400. Its totient is φ = 96537600.

The previous prime is 398692769. The next prime is 398692817. The reversal of 398692800 is 8296893.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 474781 + ... + 475619.

It is an arithmetic number, because the mean of its divisors is an integer number (4724400).

Almost surely, 2^398692800 is an apocalyptic number.

398692800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398692800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793699200).

398692800 is an abundant number, since it is smaller than the sum of its proper divisors (1188705600).

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

398692800 is a wasteful number, since it uses less digits than its factorization.

398692800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 398692800 is about 19967.2932567236. The cubic root of 398692800 is about 736.0027961456.

The spelling of 398692800 in words is "three hundred ninety-eight million, six hundred ninety-two thousand, eight hundred".