397664000 has 216 divisors, whose sum is σ = 1076803728. Its totient is φ = 146227200.

The previous prime is 397663999. The next prime is 397664027. The reversal of 397664000 is 466793.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9247979 + ... + 9248021.

Almost surely, 2^397664000 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 397664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538401864).

397664000 is an abundant number, since it is smaller than the sum of its proper divisors (679139728).

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

397664000 is an equidigital number, since it uses as much as digits as its factorization.

397664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 397664000 is about 19941.5144861166. The cubic root of 397664000 is about 735.3691822346.

It can be divided in two parts, 3976 and 64000, that added together give a palindrome (67976).

The spelling of 397664000 in words is "three hundred ninety-seven million, six hundred sixty-four thousand".