396720576 has 168 divisors, whose sum is σ = 1321698144. Its totient is φ = 111421440.

The previous prime is 396720563. The next prime is 396720607. The reversal of 396720576 is 675027693.

396720576 is a `hidden beast` number, since 3 + 9 + 6 + 72 + 0 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

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, 245146 + ... + 246758.

Almost surely, 2^396720576 is an apocalyptic number.

396720576 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 396720576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660849072).

396720576 is an abundant number, since it is smaller than the sum of its proper divisors (924977568).

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

396720576 is a wasteful number, since it uses less digits than its factorization.

396720576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 396720576 is about 19917.8456666377. The cubic root of 396720576 is about 734.7871881455.

The spelling of 396720576 in words is "three hundred ninety-six million, seven hundred twenty thousand, five hundred seventy-six".