397760832 has 252 divisors, whose sum is σ = 1405958580. Its totient is φ = 106831872.

The previous prime is 397760821. The next prime is 397760833. The reversal of 397760832 is 238067793.

It is a happy number.

397760832 is a `hidden beast` number, since 3 + 9 + 7 + 7 + 608 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 271063296 + 126697536 = 16464^2 + 11256^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397760833) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 479394 + ... + 480222.

Almost surely, 2^397760832 is an apocalyptic number.

397760832 is a gapful number since it is divisible by the number (32) 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 397760832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702979290).

397760832 is an abundant number, since it is smaller than the sum of its proper divisors (1008197748).

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

397760832 is a wasteful number, since it uses less digits than its factorization.

397760832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 397760832 is about 19943.9422381835. The cubic root of 397760832 is about 735.4288653588.

The spelling of 397760832 in words is "three hundred ninety-seven million, seven hundred sixty thousand, eight hundred thirty-two".