398906368 has 176 divisors, whose sum is σ = 1002211200. Its totient is φ = 154828800.

The previous prime is 398906363. The next prime is 398906371. The reversal of 398906368 is 863609893.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398906363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3949518 + ... + 3949618.

Almost surely, 2^398906368 is an apocalyptic number.

398906368 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398906368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501105600).

398906368 is an abundant number, since it is smaller than the sum of its proper divisors (603304832).

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

398906368 is a wasteful number, since it uses less digits than its factorization.

398906368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 52.

The square root of 398906368 is about 19972.6404864254. The cubic root of 398906368 is about 736.1341910331.

The spelling of 398906368 in words is "three hundred ninety-eight million, nine hundred six thousand, three hundred sixty-eight".