396202320 has 320 divisors, whose sum is σ = 1446574080. Its totient is φ = 99532800.

The previous prime is 396202319. The next prime is 396202337. The reversal of 396202320 is 23202693.

396202320 is a `hidden beast` number, since 3 + 9 + 620 + 2 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4084512 + ... + 4084608.

It is an arithmetic number, because the mean of its divisors is an integer number (4520544).

Almost surely, 2^396202320 is an apocalyptic number.

396202320 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 396202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723287040).

396202320 is an abundant number, since it is smaller than the sum of its proper divisors (1050371760).

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

396202320 is a wasteful number, since it uses less digits than its factorization.

396202320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 396202320 is about 19904.8315742686. The cubic root of 396202320 is about 734.4670855886.

The spelling of 396202320 in words is "three hundred ninety-six million, two hundred two thousand, three hundred twenty".