398634400 has 72 divisors (see below), whose sum is σ = 978898284. Its totient is φ = 158515200.

The previous prime is 398634391. The next prime is 398634427. The reversal of 398634400 is 4436893.

It can be written as a sum of positive squares in 6 ways, for example, as 113294736 + 285339664 = 10644^2 + 16892^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 398634400.

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, 143424 + ... + 146176.

Almost surely, 2^398634400 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 398634400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489449142).

398634400 is an abundant number, since it is smaller than the sum of its proper divisors (580263884).

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

398634400 is a wasteful number, since it uses less digits than its factorization.

398634400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2954 (or 2941 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 398634400 is about 19965.8308116642. The cubic root of 398634400 is about 735.9668581485.

The spelling of 398634400 in words is "three hundred ninety-eight million, six hundred thirty-four thousand, four hundred".