1152393360 has 80 divisors (see below), whose sum is σ = 3612625920. Its totient is φ = 303846400.

The previous prime is 1152393313. The next prime is 1152393371. The reversal of 1152393360 is 633932511.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5616 + ... + 48335.

It is an arithmetic number, because the mean of its divisors is an integer number (45157824).

Almost surely, 2^1152393360 is an apocalyptic number.

1152393360 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 1152393360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806312960).

1152393360 is an abundant number, since it is smaller than the sum of its proper divisors (2460232560).

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

1152393360 is a wasteful number, since it uses less digits than its factorization.

1152393360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54056 (or 54050 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 33.

The square root of 1152393360 is about 33946.9197424450. The cubic root of 1152393360 is about 1048.4158606374.

The spelling of 1152393360 in words is "one billion, one hundred fifty-two million, three hundred ninety-three thousand, three hundred sixty".