397420800 has 216 divisors, whose sum is σ = 1499445696. Its totient is φ = 90808320.

The previous prime is 397420789. The next prime is 397420813. The reversal of 397420800 is 8024793.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132922 + ... + 135878.

Almost surely, 2^397420800 is an apocalyptic number.

397420800 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 397420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749722848).

397420800 is an abundant number, since it is smaller than the sum of its proper divisors (1102024896).

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

397420800 is a wasteful number, since it uses less digits than its factorization.

397420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2993 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 397420800 is about 19935.4157217752. The cubic root of 397420800 is about 735.2192413668.

The spelling of 397420800 in words is "three hundred ninety-seven million, four hundred twenty thousand, eight hundred".