397427200 has 120 divisors (see below), whose sum is σ = 1002765060. Its totient is φ = 156057600.

The previous prime is 397427153. The next prime is 397427221. The reversal of 397427200 is 2724793.

It can be written as a sum of positive squares in 6 ways, for example, as 94945536 + 302481664 = 9744^2 + 17392^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 780546 + ... + 781054.

Almost surely, 2^397427200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 397427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501382530).

397427200 is an abundant number, since it is smaller than the sum of its proper divisors (605337860).

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

397427200 is an equidigital number, since it uses as much as digits as its factorization.

397427200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The square root of 397427200 is about 19935.5762394770. The cubic root of 397427200 is about 735.2231879627.

The spelling of 397427200 in words is "three hundred ninety-seven million, four hundred twenty-seven thousand, two hundred".