1052384256 has 264 divisors, whose sum is σ = 3791109504. Its totient is φ = 273162240.

The previous prime is 1052384231. The next prime is 1052384257. The reversal of 1052384256 is 6524832501.

1052384256 is a `hidden beast` number, since 1 + 0 + 523 + 84 + 2 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×1052384256² = 2215025244553347072, which contains 22 as substring.

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 1052384256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052384257) 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 23 ways as a sum of consecutive naturals, for example, 708891 + ... + 710373.

Almost surely, 2^1052384256 is an apocalyptic number.

1052384256 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 1052384256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895554752).

1052384256 is an abundant number, since it is smaller than the sum of its proper divisors (2738725248).

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

1052384256 is a wasteful number, since it uses less digits than its factorization.

1052384256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1052384256 is about 32440.4724996416. The cubic root of 1052384256 is about 1017.1650924255.

The spelling of 1052384256 in words is "one billion, fifty-two million, three hundred eighty-four thousand, two hundred fifty-six".