396000576 has 84 divisors (see below), whose sum is σ = 1177149792. Its totient is φ = 131995008.

The previous prime is 396000569. The next prime is 396000607. The reversal of 396000576 is 675000693.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 396000576.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2821 + ... + 28283.

It is an arithmetic number, because the mean of its divisors is an integer number (14013688).

Almost surely, 2^396000576 is an apocalyptic number.

396000576 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 396000576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588574896).

396000576 is an abundant number, since it is smaller than the sum of its proper divisors (781149216).

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

396000576 is an equidigital number, since it uses as much as digits as its factorization.

396000576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25490 (or 25468 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 396000576 is about 19899.7632146717. The cubic root of 396000576 is about 734.3424022495.

The spelling of 396000576 in words is "three hundred ninety-six million, five hundred seventy-six", and thus it is an aban number.