1004882256 has 120 divisors (see below), whose sum is σ = 3220518080. Its totient is φ = 286530048.

The previous prime is 1004882237. The next prime is 1004882299. The reversal of 1004882256 is 6522884001.

1004882256 is a `hidden beast` number, since 100 + 488 + 22 + 56 = 666.

1004882256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 1004882256.

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, 889500 + ... + 890628.

Almost surely, 2^1004882256 is an apocalyptic number.

1004882256 is a gapful number since it is divisible by the number (16) 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 1004882256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610259040).

1004882256 is an abundant number, since it is smaller than the sum of its proper divisors (2215635824).

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

1004882256 is a wasteful number, since it uses less digits than its factorization.

1004882256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1004882256 is about 31699.8778546543. The cubic root of 1004882256 is about 1001.6247773355.

The spelling of 1004882256 in words is "one billion, four million, eight hundred eighty-two thousand, two hundred fifty-six".