397108800 has 504 divisors, whose sum is σ = 1621414080. Its totient is φ = 91238400.

The previous prime is 397108793. The next prime is 397108801. The reversal of 397108800 is 8801793.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (397108801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3643146 + ... + 3643254.

Almost surely, 2^397108800 is an apocalyptic number.

397108800 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 397108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810707040).

397108800 is an abundant number, since it is smaller than the sum of its proper divisors (1224305280).

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

397108800 is a wasteful number, since it uses less digits than its factorization.

397108800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 397108800 is about 19927.5889158724. The cubic root of 397108800 is about 735.0267934145.

The spelling of 397108800 in words is "three hundred ninety-seven million, one hundred eight thousand, eight hundred".