397857600 has 252 divisors, whose sum is σ = 1616500704. Its totient is φ = 90915840.

The previous prime is 397857569. The next prime is 397857601. The reversal of 397857600 is 6758793.

It is a happy number.

397857600 is a `hidden beast` number, since 3 + 9 + 78 + 576 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397857601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 98827 + ... + 102773.

Almost surely, 2^397857600 is an apocalyptic number.

397857600 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 397857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808250352).

397857600 is an abundant number, since it is smaller than the sum of its proper divisors (1218643104).

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

397857600 is a wasteful number, since it uses less digits than its factorization.

397857600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3982 (or 3964 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 397857600 is about 19946.3680904570. The cubic root of 397857600 is about 735.4884993603.

The spelling of 397857600 in words is "three hundred ninety-seven million, eight hundred fifty-seven thousand, six hundred".