397916352 has 84 divisors (see below), whose sum is σ = 1171443936. Its totient is φ = 129047040.

The previous prime is 397916347. The next prime is 397916369. The reversal of 397916352 is 253619793.

397916352 is a `hidden beast` number, since 3 + 9 + 7 + 9 + 1 + 635 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 397916298 and 397916307.

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, 11977 + ... + 30647.

Almost surely, 2^397916352 is an apocalyptic number.

397916352 is a gapful number since it is divisible by the number (32) 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 397916352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585721968).

397916352 is an abundant number, since it is smaller than the sum of its proper divisors (773527584).

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

397916352 is a wasteful number, since it uses less digits than its factorization.

397916352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18726 (or 18713 counting only the distinct ones).

The product of its digits is 306180, while the sum is 45.

The square root of 397916352 is about 19947.8407854083. The cubic root of 397916352 is about 735.5247010008.

The spelling of 397916352 in words is "three hundred ninety-seven million, nine hundred sixteen thousand, three hundred fifty-two".