397872000 has 320 divisors, whose sum is σ = 1482521040. Its totient is φ = 105753600.

The previous prime is 397871959. The next prime is 397872017. The reversal of 397872000 is 278793.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1295847 + ... + 1296153.

Almost surely, 2^397872000 is an apocalyptic number.

397872000 is a gapful number since it is divisible by the number (30) 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 397872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741260520).

397872000 is an abundant number, since it is smaller than the sum of its proper divisors (1084649040).

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

397872000 is an equidigital number, since it uses as much as digits as its factorization.

397872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 397872000 is about 19946.7290551609. The cubic root of 397872000 is about 735.4973726411.

The spelling of 397872000 in words is "three hundred ninety-seven million, eight hundred seventy-two thousand".