396104256 has 140 divisors (see below), whose sum is σ = 1186639740. Its totient is φ = 130636800.

The previous prime is 396104231. The next prime is 396104281. The reversal of 396104256 is 652401693.

It is a happy number.

396104256 is a `hidden beast` number, since 39 + 610 + 4 + 2 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (396104231) and next prime (396104281).

It can be written as a sum of positive squares in 2 ways, for example, as 311169600 + 84934656 = 17640^2 + 9216^2 .

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 396104256.

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 19 ways as a sum of consecutive naturals, for example, 564706 + ... + 565406.

Almost surely, 2^396104256 is an apocalyptic number.

396104256 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 396104256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593319870).

396104256 is an abundant number, since it is smaller than the sum of its proper divisors (790535484).

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

396104256 is a wasteful number, since it uses less digits than its factorization.

396104256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 396104256 is about 19902.3681003040. The cubic root of 396104256 is about 734.4064846281.

The spelling of 396104256 in words is "three hundred ninety-six million, one hundred four thousand, two hundred fifty-six".