1153456800 has 216 divisors, whose sum is σ = 3990744576. Its totient is φ = 289320960.

The previous prime is 1153456793. The next prime is 1153456819. The reversal of 1153456800 is 86543511.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 692769 + ... + 694431.

Almost surely, 2^1153456800 is an apocalyptic number.

1153456800 is a gapful number since it is divisible by the number (10) 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 1153456800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995372288).

1153456800 is an abundant number, since it is smaller than the sum of its proper divisors (2837287776).

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

1153456800 is a wasteful number, since it uses less digits than its factorization.

1153456800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 1153456800 is about 33962.5794073418. The cubic root of 1153456800 is about 1048.7382576654.

The spelling of 1153456800 in words is "one billion, one hundred fifty-three million, four hundred fifty-six thousand, eight hundred".