396328464 has 225 divisors, whose sum is σ = 1351474047. Its totient is φ = 111803328.

The previous prime is 396328451. The next prime is 396328489. The reversal of 396328464 is 464823693.

The square root of 396328464 is 19908.

It is a perfect power (a square), and thus also a powerful number.

396328464 is a `hidden beast` number, since 3 + 9 + 632 + 8 + 4 + 6 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (746496) is a multiple of the sum of its prime factors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5016777 + ... + 5016855.

Almost surely, 2^396328464 is an apocalyptic number.

396328464 is the 19908-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396328464

396328464 is an abundant number, since it is smaller than the sum of its proper divisors (955145583).

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

396328464 is an equidigital number, since it uses as much as digits as its factorization.

396328464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 91 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The cubic root of 396328464 is about 734.5450245443.

Multiplying 396328464 by its product of digits (746496), we get a square (295857613062144 = 17200512²).

The spelling of 396328464 in words is "three hundred ninety-six million, three hundred twenty-eight thousand, four hundred sixty-four".