396257344 has 56 divisors (see below), whose sum is σ = 901598400. Its totient is φ = 169268736.

The previous prime is 396257321. The next prime is 396257347. The reversal of 396257344 is 443752693.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 396257344.

It is not an unprimeable number, because it can be changed into a prime (396257347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154182 + ... + 156730.

Almost surely, 2^396257344 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 396257344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450799200).

396257344 is an abundant number, since it is smaller than the sum of its proper divisors (505341056).

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

396257344 is a wasteful number, since it uses less digits than its factorization.

396257344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2915 (or 2905 counting only the distinct ones).

The product of its digits is 544320, while the sum is 43.

The square root of 396257344 is about 19906.2137032636. The cubic root of 396257344 is about 734.5010845870.

The spelling of 396257344 in words is "three hundred ninety-six million, two hundred fifty-seven thousand, three hundred forty-four".