397600358400 has 1140 divisors, whose sum is σ = 1699142863968. Its totient is φ = 90030735360.

The previous prime is 397600358359. The next prime is 397600358401. The reversal of 397600358400 is 4853006793.

397600358400 is a `hidden beast` number, since 3 + 9 + 7 + 60 + 0 + 3 + 584 + 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 not an unprimeable number, because it can be changed into a prime (397600358401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3715891147 + ... + 3715891253.

Almost surely, 2^397600358400 is an apocalyptic number.

397600358400 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 397600358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849571431984).

397600358400 is an abundant number, since it is smaller than the sum of its proper divisors (1301542505568).

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

397600358400 is an frugal number, since it uses more digits than its factorization.

397600358400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 397600358400 in words is "three hundred ninety-seven billion, six hundred million, three hundred fifty-eight thousand, four hundred".