1150396800 has 768 divisors, whose sum is σ = 4917542400. Its totient is φ = 230031360.

The previous prime is 1150396799. The next prime is 1150396829. The reversal of 1150396800 is 86930511.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21705574 + ... + 21705626.

It is an arithmetic number, because the mean of its divisors is an integer number (6403050).

Almost surely, 2^1150396800 is an apocalyptic number.

1150396800 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 1150396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2458771200).

1150396800 is an abundant number, since it is smaller than the sum of its proper divisors (3767145600).

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

1150396800 is a wasteful number, since it uses less digits than its factorization.

1150396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 1150396800 is about 33917.4999078647. The cubic root of 1150396800 is about 1047.8100387976.

The spelling of 1150396800 in words is "one billion, one hundred fifty million, three hundred ninety-six thousand, eight hundred".