396904320 has 256 divisors, whose sum is σ = 1425715200. Its totient is φ = 104343552.

The previous prime is 396904301. The next prime is 396904327. The reversal of 396904320 is 23409693.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396904327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1779729 + ... + 1779951.

It is an arithmetic number, because the mean of its divisors is an integer number (5569200).

Almost surely, 2^396904320 is an apocalyptic number.

396904320 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 396904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712857600).

396904320 is an abundant number, since it is smaller than the sum of its proper divisors (1028810880).

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

396904320 is a wasteful number, since it uses less digits than its factorization.

396904320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 396904320 is about 19922.4576797141. The cubic root of 396904320 is about 734.9006113007.

The spelling of 396904320 in words is "three hundred ninety-six million, nine hundred four thousand, three hundred twenty".