1152590400 has 504 divisors, whose sum is σ = 4539959424. Its totient is φ = 275558400.

The previous prime is 1152590393. The next prime is 1152590431. The reversal of 1152590400 is 40952511.

1152590400 is a `hidden beast` number, since 1 + 1 + 5 + 259 + 0 + 400 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8798335 + ... + 8798465.

It is an arithmetic number, because the mean of its divisors is an integer number (9007856).

Almost surely, 2^1152590400 is an apocalyptic number.

1152590400 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 1152590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2269979712).

1152590400 is an abundant number, since it is smaller than the sum of its proper divisors (3387369024).

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

1152590400 is a wasteful number, since it uses less digits than its factorization.

1152590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 1152590400 is about 33949.8217962922. The cubic root of 1152590400 is about 1048.4756110940.

The spelling of 1152590400 in words is "one billion, one hundred fifty-two million, five hundred ninety thousand, four hundred".