1149892800 has 252 divisors, whose sum is σ = 4389440040. Its totient is φ = 262778880.

The previous prime is 1149892781. The next prime is 1149892811. The reversal of 1149892800 is 82989411.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 232756 + ... + 237644.

Almost surely, 2^1149892800 is an apocalyptic number.

1149892800 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 1149892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194720020).

1149892800 is an abundant number, since it is smaller than the sum of its proper divisors (3239547240).

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

1149892800 is a wasteful number, since it uses less digits than its factorization.

1149892800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4928 (or 4906 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The square root of 1149892800 is about 33910.0693010203. The cubic root of 1149892800 is about 1047.6569978644.

The spelling of 1149892800 in words is "one billion, one hundred forty-nine million, eight hundred ninety-two thousand, eight hundred".