396972576 has 672 divisors, whose sum is σ = 1665836928. Its totient is φ = 89579520.

The previous prime is 396972539. The next prime is 396972581. The reversal of 396972576 is 675279693.

396972576 is a `hidden beast` number, since 3 + 9 + 69 + 7 + 2 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 23351320 + ... + 23351336.

It is an arithmetic number, because the mean of its divisors is an integer number (2478924).

Almost surely, 2^396972576 is an apocalyptic number.

396972576 is a gapful number since it is divisible by the number (36) 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 396972576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832918464).

396972576 is an abundant number, since it is smaller than the sum of its proper divisors (1268864352).

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

396972576 is a wasteful number, since it uses less digits than its factorization.

396972576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 53 counting only the distinct ones).

The product of its digits is 4286520, while the sum is 54.

The square root of 396972576 is about 19924.1706477334. The cubic root of 396972576 is about 734.9427360635.

The spelling of 396972576 in words is "three hundred ninety-six million, nine hundred seventy-two thousand, five hundred seventy-six".