1150510400 has 84 divisors (see below), whose sum is σ = 3048797052. Its totient is φ = 424796160.

The previous prime is 1150510397. The next prime is 1150510421. The reversal of 1150510400 is 40150511.

It can be written as a sum of positive squares in 6 ways, for example, as 7529536 + 1142980864 = 2744^2 + 33808^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6857 + ... + 48456.

It is an arithmetic number, because the mean of its divisors is an integer number (36295203).

Almost surely, 2^1150510400 is an apocalyptic number.

1150510400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1150510400 is an abundant number, since it is smaller than the sum of its proper divisors (1898286652).

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

1150510400 is a wasteful number, since it uses less digits than its factorization.

1150510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55348 (or 55333 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 17.

The square root of 1150510400 is about 33919.1745182574. The cubic root of 1150510400 is about 1047.8445275649.

Adding to 1150510400 its reverse (40150511), we get a palindrome (1190660911).

The spelling of 1150510400 in words is "one billion, one hundred fifty million, five hundred ten thousand, four hundred".