1145952800 has 36 divisors (see below), whose sum is σ = 2797559226. Its totient is φ = 458380800.

The previous prime is 1145952793. The next prime is 1145952817. The reversal of 1145952800 is 82595411.

1145952800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1109422864 + 36529936 = 33308^2 + 6044^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 715421 + ... + 717020.

Almost surely, 2^1145952800 is an apocalyptic number.

1145952800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1145952800 is an abundant number, since it is smaller than the sum of its proper divisors (1651606426).

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

1145952800 is a wasteful number, since it uses less digits than its factorization.

1145952800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432461 (or 1432448 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 35.

The square root of 1145952800 is about 33851.9246129374. The cubic root of 1145952800 is about 1046.4590624170.

The spelling of 1145952800 in words is "one billion, one hundred forty-five million, nine hundred fifty-two thousand, eight hundred".