397631136400 has 135 divisors (see below), whose sum is σ = 980452286193. Its totient is φ = 154971340800.

The previous prime is 397631136361. The next prime is 397631136421. The reversal of 397631136400 is 4631136793.

The square root of 397631136400 is 630580.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 397268005264 + 363131136 = 630292^2 + 19056^2 .

It is a super-2 number, since 2×397631136400² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 517075216 + ... + 517075984.

Almost surely, 2^397631136400 is an apocalyptic number.

397631136400 is the 630580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 397631136400

397631136400 is an abundant number, since it is smaller than the sum of its proper divisors (582821149793).

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

397631136400 is an frugal number, since it uses more digits than its factorization.

397631136400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 43.

The spelling of 397631136400 in words is "three hundred ninety-seven billion, six hundred thirty-one million, one hundred thirty-six thousand, four hundred".