396832320 has 168 divisors, whose sum is σ = 1373209344. Its totient is φ = 105182208.

The previous prime is 396832313. The next prime is 396832349. The reversal of 396832320 is 23238693.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 653457 + ... + 654063.

Almost surely, 2^396832320 is an apocalyptic number.

396832320 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 396832320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686604672).

396832320 is an abundant number, since it is smaller than the sum of its proper divisors (976377024).

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

396832320 is a wasteful number, since it uses less digits than its factorization.

396832320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 396832320 is about 19920.6505917854. The cubic root of 396832320 is about 734.8561706625.

The spelling of 396832320 in words is "three hundred ninety-six million, eight hundred thirty-two thousand, three hundred twenty".