397933200 has 180 divisors, whose sum is σ = 1578315648. Its totient is φ = 90950400.

The previous prime is 397933183. The next prime is 397933213. The reversal of 397933200 is 2339793.

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 17305 + ... + 33095.

Almost surely, 2^397933200 is an apocalyptic number.

397933200 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 397933200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789157824).

397933200 is an abundant number, since it is smaller than the sum of its proper divisors (1180382448).

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

397933200 is a wasteful number, since it uses less digits than its factorization.

397933200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15822 (or 15808 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 36.

The square root of 397933200 is about 19948.2630822836. The cubic root of 397933200 is about 735.5350816962.

The spelling of 397933200 in words is "three hundred ninety-seven million, nine hundred thirty-three thousand, two hundred".