397051200 has 672 divisors, whose sum is σ = 1799051520. Its totient is φ = 82944000.

The previous prime is 397051183. The next prime is 397051217. The reversal of 397051200 is 2150793.

It is an interprime number because it is at equal distance from previous prime (397051183) and next prime (397051217).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3931150 + ... + 3931250.

It is an arithmetic number, because the mean of its divisors is an integer number (2677160).

Almost surely, 2^397051200 is an apocalyptic number.

397051200 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 397051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899525760).

397051200 is an abundant number, since it is smaller than the sum of its proper divisors (1402000320).

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

397051200 is a wasteful number, since it uses less digits than its factorization.

397051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 397051200 is about 19926.1436309187. The cubic root of 397051200 is about 734.9912535402.

The spelling of 397051200 in words is "three hundred ninety-seven million, fifty-one thousand, two hundred".