1152460800 has 432 divisors, whose sum is σ = 4297342140. Its totient is φ = 294912000.

The previous prime is 1152460781. The next prime is 1152460801. The reversal of 1152460800 is 80642511.

1152460800 is a `hidden beast` number, since 1 + 1 + 52 + 4 + 608 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4064256 + 1148396544 = 2016^2 + 33888^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1152460801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18892770 + ... + 18892830.

Almost surely, 2^1152460800 is an apocalyptic number.

1152460800 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 1152460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148671070).

1152460800 is an abundant number, since it is smaller than the sum of its proper divisors (3144881340).

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

1152460800 is a wasteful number, since it uses less digits than its factorization.

1152460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1152460800 is about 33947.9130433669. The cubic root of 1152460800 is about 1048.4363119257.

It can be divided in two parts, 1152 and 460800, that multiplied together give a square (530841600 = 23040²).

The spelling of 1152460800 in words is "one billion, one hundred fifty-two million, four hundred sixty thousand, eight hundred".