397580400 has 300 divisors, whose sum is σ = 1631654992. Its totient is φ = 90823680.

The previous prime is 397580389. The next prime is 397580423. The reversal of 397580400 is 4085793.

397580400 is a `hidden beast` number, since 39 + 7 + 580 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

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 59 ways as a sum of consecutive naturals, for example, 225924 + ... + 227676.

Almost surely, 2^397580400 is an apocalyptic number.

397580400 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 397580400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815827496).

397580400 is an abundant number, since it is smaller than the sum of its proper divisors (1234074592).

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

397580400 is a wasteful number, since it uses less digits than its factorization.

397580400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 397580400 is about 19939.4182462779. The cubic root of 397580400 is about 735.3176469584.

The spelling of 397580400 in words is "three hundred ninety-seven million, five hundred eighty thousand, four hundred".