398107920 has 160 divisors (see below), whose sum is σ = 1471905792. Its totient is φ = 87031296.

The previous prime is 398107877. The next prime is 398107949. The reversal of 398107920 is 29701893.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33489 + ... + 43791.

Almost surely, 2^398107920 is an apocalyptic number.

398107920 is a gapful number since it is divisible by the number (30) 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 398107920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735952896).

398107920 is an abundant number, since it is smaller than the sum of its proper divisors (1073797872).

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

398107920 is a wasteful number, since it uses less digits than its factorization.

398107920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10349 (or 10343 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 398107920 is about 19952.6419303309. The cubic root of 398107920 is about 735.6427160809.

The spelling of 398107920 in words is "three hundred ninety-eight million, one hundred seven thousand, nine hundred twenty".