397089638400 has 576 divisors, whose sum is σ = 1615715337600. Its totient is φ = 83778600960.

The previous prime is 397089638377. The next prime is 397089638411. The reversal of 397089638400 is 4836980793.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13963396 + ... + 13991804.

It is an arithmetic number, because the mean of its divisors is an integer number (2805061350).

Almost surely, 2^397089638400 is an apocalyptic number.

397089638400 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 397089638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807857668800).

397089638400 is an abundant number, since it is smaller than the sum of its proper divisors (1218625699200).

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

397089638400 is a wasteful number, since it uses less digits than its factorization.

397089638400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28464 (or 28439 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 57.

The spelling of 397089638400 in words is "three hundred ninety-seven billion, eighty-nine million, six hundred thirty-eight thousand, four hundred".