398249633304 has 192 divisors, whose sum is σ = 1225579680000. Its totient is φ = 116146711296.

The previous prime is 398249633303. The next prime is 398249633363. The reversal of 398249633304 is 403336942893.

398249633304 is a `hidden beast` number, since 3 + 9 + 8 + 249 + 63 + 330 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398249633303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 694227 + ... + 1130685.

It is an arithmetic number, because the mean of its divisors is an integer number (6383227500).

Almost surely, 2^398249633304 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 398249633304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612789840000).

398249633304 is an abundant number, since it is smaller than the sum of its proper divisors (827330046696).

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

398249633304 is a wasteful number, since it uses less digits than its factorization.

398249633304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436542 (or 436535 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 54.

The spelling of 398249633304 in words is "three hundred ninety-eight billion, two hundred forty-nine million, six hundred thirty-three thousand, three hundred four".