1152345600 has 360 divisors, whose sum is σ = 4716357360. Its totient is φ = 263208960.

The previous prime is 1152345599. The next prime is 1152345619. The reversal of 1152345600 is 65432511.

1152345600 is a `hidden beast` number, since 1 + 1 + 52 + 3 + 4 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

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, 805686 + ... + 807114.

Almost surely, 2^1152345600 is an apocalyptic number.

1152345600 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 1152345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358178680).

1152345600 is an abundant number, since it is smaller than the sum of its proper divisors (3564011760).

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

1152345600 is a wasteful number, since it uses less digits than its factorization.

1152345600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1152345600 is about 33946.2162839984. The cubic root of 1152345600 is about 1048.4013768581.

The spelling of 1152345600 in words is "one billion, one hundred fifty-two million, three hundred forty-five thousand, six hundred".