397631830464 has 560 divisors, whose sum is σ = 1328770967040. Its totient is φ = 116535767040.

The previous prime is 397631830457. The next prime is 397631830469. The reversal of 397631830464 is 464038136793.

It is a happy number.

397631830464 is a `hidden beast` number, since 3 + 9 + 76 + 31 + 83 + 0 + 464 = 666.

It is a super-2 number, since 2×397631830464² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 397631830464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397631830469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 238530559 + ... + 238532225.

Almost surely, 2^397631830464 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 397631830464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664385483520).

397631830464 is an abundant number, since it is smaller than the sum of its proper divisors (931139136576).

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

397631830464 is a wasteful number, since it uses less digits than its factorization.

397631830464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 397631830464 in words is "three hundred ninety-seven billion, six hundred thirty-one million, eight hundred thirty thousand, four hundred sixty-four".