397513293408 has 432 divisors, whose sum is σ = 1436647290624. Its totient is φ = 103098078720.

The previous prime is 397513293349. The next prime is 397513293431. The reversal of 397513293408 is 804392315793.

397513293408 is a `hidden beast` number, since 3 + 97 + 513 + 2 + 9 + 34 + 0 + 8 = 666.

397513293408 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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, 137689341 + ... + 137692227.

It is an arithmetic number, because the mean of its divisors is an integer number (3325572432).

Almost surely, 2^397513293408 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 397513293408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718323645312).

397513293408 is an abundant number, since it is smaller than the sum of its proper divisors (1039133997216).

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

397513293408 is a wasteful number, since it uses less digits than its factorization.

397513293408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3815 (or 3797 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 397513293408 in words is "three hundred ninety-seven billion, five hundred thirteen million, two hundred ninety-three thousand, four hundred eight".