1131579400 has 96 divisors (see below), whose sum is σ = 3076856640. Its totient is φ = 378927360.

The previous prime is 1131579373. The next prime is 1131579403. The reversal of 1131579400 is 49751311.

It is not an unprimeable number, because it can be changed into a prime (1131579403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50802 + ... + 69598.

It is an arithmetic number, because the mean of its divisors is an integer number (32050590).

Almost surely, 2^1131579400 is an apocalyptic number.

1131579400 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 1131579400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538428320).

1131579400 is an abundant number, since it is smaller than the sum of its proper divisors (1945277240).

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

1131579400 is a wasteful number, since it uses less digits than its factorization.

1131579400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18863 (or 18854 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 31.

The square root of 1131579400 is about 33638.9565831047. The cubic root of 1131579400 is about 1042.0654834124.

The spelling of 1131579400 in words is "one billion, one hundred thirty-one million, five hundred seventy-nine thousand, four hundred".