397795968 has 256 divisors, whose sum is σ = 1253376000. Its totient is φ = 124001280.

The previous prime is 397795943. The next prime is 397795973. The reversal of 397795968 is 869597793.

397795968 is a `hidden beast` number, since 39 + 7 + 7 + 9 + 596 + 8 = 666.

Its product of digits (25719120) is a multiple of the sum of its prime divisors (162).

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, 5035353 + ... + 5035431.

It is an arithmetic number, because the mean of its divisors is an integer number (4896000).

Almost surely, 2^397795968 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 397795968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626688000).

397795968 is an abundant number, since it is smaller than the sum of its proper divisors (855580032).

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

397795968 is a wasteful number, since it uses less digits than its factorization.

397795968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 162 counting only the distinct ones).

The product of its digits is 25719120, while the sum is 63.

The square root of 397795968 is about 19944.8230877088. The cubic root of 397795968 is about 735.4505192990.

The spelling of 397795968 in words is "three hundred ninety-seven million, seven hundred ninety-five thousand, nine hundred sixty-eight".