398632400 has 60 divisors (see below), whose sum is σ = 969333792. Its totient is φ = 157518720.

The previous prime is 398632393. The next prime is 398632447. The reversal of 398632400 is 4236893.

It is a happy number.

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, 27197 + ... + 39203.

Almost surely, 2^398632400 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 398632400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484666896).

398632400 is an abundant number, since it is smaller than the sum of its proper divisors (570701392).

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

398632400 is a wasteful number, since it uses less digits than its factorization.

398632400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12108 (or 12097 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 398632400 is about 19965.7807260322. The cubic root of 398632400 is about 735.9656273330.

The spelling of 398632400 in words is "three hundred ninety-eight million, six hundred thirty-two thousand, four hundred".