397444800 has 168 divisors, whose sum is σ = 1346516992. Its totient is φ = 102528000.

The previous prime is 397444799. The next prime is 397444823. The reversal of 397444800 is 8444793.

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, 147465 + ... + 150135.

Almost surely, 2^397444800 is an apocalyptic number.

397444800 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 397444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673258496).

397444800 is an abundant number, since it is smaller than the sum of its proper divisors (949072192).

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

397444800 is a wasteful number, since it uses less digits than its factorization.

397444800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2727 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 397444800 is about 19936.0176564930. The cubic root of 397444800 is about 735.2340408830.

It can be divided in two parts, 39744 and 4800, that added together give a palindrome (44544).

The spelling of 397444800 in words is "three hundred ninety-seven million, four hundred forty-four thousand, eight hundred".