1153304256 has 224 divisors, whose sum is σ = 3512759040. Its totient is φ = 331001856.

The previous prime is 1153304239. The next prime is 1153304281. The reversal of 1153304256 is 6524033511.

It is a super-2 number, since 2×1153304256² = 2660221413815427072, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3936046 + ... + 3936338.

It is an arithmetic number, because the mean of its divisors is an integer number (15681960).

Almost surely, 2^1153304256 is an apocalyptic number.

1153304256 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 1153304256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756379520).

1153304256 is an abundant number, since it is smaller than the sum of its proper divisors (2359454784).

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

1153304256 is a wasteful number, since it uses less digits than its factorization.

1153304256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 1153304256 is about 33960.3335672664. Note that the first 3 decimals coincide. The cubic root of 1153304256 is about 1048.6920239496.

Adding to 1153304256 its reverse (6524033511), we get a palindrome (7677337767).

The spelling of 1153304256 in words is "one billion, one hundred fifty-three million, three hundred four thousand, two hundred fifty-six".