397408032 has 288 divisors, whose sum is σ = 1375920000. Its totient is φ = 112783104.

The previous prime is 397408027. The next prime is 397408043. The reversal of 397408032 is 230804793.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×397408032² = 315866287796226048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2667094 + ... + 2667242.

It is an arithmetic number, because the mean of its divisors is an integer number (4777500).

Almost surely, 2^397408032 is an apocalyptic number.

397408032 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 397408032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687960000).

397408032 is an abundant number, since it is smaller than the sum of its proper divisors (978511968).

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

397408032 is an equidigital number, since it uses as much as digits as its factorization.

397408032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 397408032 is about 19935.0954850986. The cubic root of 397408032 is about 735.2113677815.

The spelling of 397408032 in words is "three hundred ninety-seven million, four hundred eight thousand, thirty-two".