397632672 has 96 divisors (see below), whose sum is σ = 1177243200. Its totient is φ = 130546944.

The previous prime is 397632667. The next prime is 397632701. The reversal of 397632672 is 276236793.

397632672 is a `hidden beast` number, since 3 + 9 + 7 + 632 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×397632672² = 316223483683719168, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54454 + ... + 61322.

It is an arithmetic number, because the mean of its divisors is an integer number (12262950).

Almost surely, 2^397632672 is an apocalyptic number.

397632672 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 397632672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588621600).

397632672 is an abundant number, since it is smaller than the sum of its proper divisors (779610528).

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

397632672 is a wasteful number, since it uses less digits than its factorization.

397632672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6955 (or 6941 counting only the distinct ones).

The product of its digits is 571536, while the sum is 45.

The square root of 397632672 is about 19940.7289736358. The cubic root of 397632672 is about 735.3498709142.

The spelling of 397632672 in words is "three hundred ninety-seven million, six hundred thirty-two thousand, six hundred seventy-two".