397627315200 has 792 divisors, whose sum is σ = 1513403760960. Its totient is φ = 103381401600.

The previous prime is 397627315181. The next prime is 397627315223. The reversal of 397627315200 is 2513726793.

397627315200 is a `hidden beast` number, since 3 + 9 + 7 + 627 + 3 + 15 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 255052021 + ... + 255053579.

Almost surely, 2^397627315200 is an apocalyptic number.

397627315200 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 397627315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756701880480).

397627315200 is an abundant number, since it is smaller than the sum of its proper divisors (1115776445760).

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

397627315200 is a wasteful number, since it uses less digits than its factorization.

397627315200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 397627315200 in words is "three hundred ninety-seven billion, six hundred twenty-seven million, three hundred fifteen thousand, two hundred".