398627904 has 112 divisors (see below), whose sum is σ = 1158727680. Its totient is φ = 120384000.

The previous prime is 398627903. The next prime is 398627921. The reversal of 398627904 is 409726893.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (398627903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81529 + ... + 86279.

Almost surely, 2^398627904 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 398627904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579363840).

398627904 is an abundant number, since it is smaller than the sum of its proper divisors (760099776).

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

398627904 is a wasteful number, since it uses less digits than its factorization.

398627904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4808 (or 4798 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 398627904 is about 19965.6681330728. The cubic root of 398627904 is about 735.9628604448.

The spelling of 398627904 in words is "three hundred ninety-eight million, six hundred twenty-seven thousand, nine hundred four".