396724480 has 72 divisors (see below), whose sum is σ = 966047544. Its totient is φ = 156057600.

The previous prime is 396724459. The next prime is 396724501. The reversal of 396724480 is 84427693.

It is an interprime number because it is at equal distance from previous prime (396724459) and next prime (396724501).

It can be written as a sum of positive squares in 4 ways, for example, as 13191424 + 383533056 = 3632^2 + 19584^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75540 + ... + 80620.

It is an arithmetic number, because the mean of its divisors is an integer number (13417327).

Almost surely, 2^396724480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396724480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483023772).

396724480 is an abundant number, since it is smaller than the sum of its proper divisors (569323064).

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

396724480 is an equidigital number, since it uses as much as digits as its factorization.

396724480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5163 (or 5149 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The square root of 396724480 is about 19917.9436689634. The cubic root of 396724480 is about 734.7895984059.

The spelling of 396724480 in words is "three hundred ninety-six million, seven hundred twenty-four thousand, four hundred eighty".