1152392256 has 168 divisors, whose sum is σ = 3597859200. Its totient is φ = 351267840.

The previous prime is 1152392251. The next prime is 1152392261. The reversal of 1152392256 is 6522932511.

It is a happy number.

1152392256 is a `hidden beast` number, since 1 + 15 + 2 + 392 + 256 = 666.

It is an interprime number because it is at equal distance from previous prime (1152392251) and next prime (1152392261).

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 1152392256.

It is not an unprimeable number, because it can be changed into a prime (1152392251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315561 + ... + 319191.

Almost surely, 2^1152392256 is an apocalyptic number.

1152392256 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 1152392256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798929600).

1152392256 is an abundant number, since it is smaller than the sum of its proper divisors (2445466944).

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

1152392256 is a wasteful number, since it uses less digits than its factorization.

1152392256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3697 (or 3684 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 1152392256 is about 33946.9034817610. The cubic root of 1152392256 is about 1048.4155258410.

The spelling of 1152392256 in words is "one billion, one hundred fifty-two million, three hundred ninety-two thousand, two hundred fifty-six".