1159728400 has 30 divisors (see below), whose sum is σ = 2786248442. Its totient is φ = 463891200.

The previous prime is 1159728377. The next prime is 1159728421. The reversal of 1159728400 is 48279511.

It can be written as a sum of positive squares in 3 ways, for example, as 6718464 + 1153009936 = 2592^2 + 33956^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1159728400.

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, 1449261 + ... + 1450060.

Almost surely, 2^1159728400 is an apocalyptic number.

1159728400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1159728400 is an abundant number, since it is smaller than the sum of its proper divisors (1626520042).

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

1159728400 is a wasteful number, since it uses less digits than its factorization.

1159728400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2899339 (or 2899328 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 37.

The square root of 1159728400 is about 34054.7852731448. The cubic root of 1159728400 is about 1050.6355638180.

The spelling of 1159728400 in words is "one billion, one hundred fifty-nine million, seven hundred twenty-eight thousand, four hundred".