397768800 has 576 divisors, whose sum is σ = 1627395840. Its totient is φ = 82944000.

The previous prime is 397768741. The next prime is 397768829. The reversal of 397768800 is 8867793.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 397768800.

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, 6520770 + ... + 6520830.

It is an arithmetic number, because the mean of its divisors is an integer number (2825340).

Almost surely, 2^397768800 is an apocalyptic number.

397768800 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 397768800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813697920).

397768800 is an abundant number, since it is smaller than the sum of its proper divisors (1229627040).

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

397768800 is a wasteful number, since it uses less digits than its factorization.

397768800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 397768800 is about 19944.1419970878. The cubic root of 397768800 is about 735.4337760636.

The spelling of 397768800 in words is "three hundred ninety-seven million, seven hundred sixty-eight thousand, eight hundred".