398108800 has 96 divisors (see below), whose sum is σ = 1004757120. Its totient is φ = 155796480.

The previous prime is 398108791. The next prime is 398108803. The reversal of 398108800 is 8801893.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 398108800.

It is not an unprimeable number, because it can be changed into a prime (398108803) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 149077 + ... + 151723.

It is an arithmetic number, because the mean of its divisors is an integer number (10466220).

Almost surely, 2^398108800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502378560).

398108800 is an abundant number, since it is smaller than the sum of its proper divisors (606648320).

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

398108800 is a wasteful number, since it uses less digits than its factorization.

398108800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2718 (or 2701 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 398108800 is about 19952.6639825363. The cubic root of 398108800 is about 735.6432581157.

The spelling of 398108800 in words is "three hundred ninety-eight million, one hundred eight thousand, eight hundred".