1164331400 has 96 divisors (see below), whose sum is σ = 2896838400. Its totient is φ = 433900800.

The previous prime is 1164331397. The next prime is 1164331433. The reversal of 1164331400 is 41334611.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229289 + ... + 234311.

It is an arithmetic number, because the mean of its divisors is an integer number (30175400).

Almost surely, 2^1164331400 is an apocalyptic number.

1164331400 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 1164331400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448419200).

1164331400 is an abundant number, since it is smaller than the sum of its proper divisors (1732507000).

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

1164331400 is a wasteful number, since it uses less digits than its factorization.

1164331400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5119 (or 5110 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 1164331400 is about 34122.3006258371. The cubic root of 1164331400 is about 1052.0237311942.

The spelling of 1164331400 in words is "one billion, one hundred sixty-four million, three hundred thirty-one thousand, four hundred".