1153504400 has 60 divisors (see below), whose sum is σ = 2934328932. Its totient is φ = 434257920.

The previous prime is 1153504399. The next prime is 1153504447. The reversal of 1153504400 is 44053511.

It can be written as a sum of positive squares in 6 ways, for example, as 40347904 + 1113156496 = 6352^2 + 33364^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78017 + ... + 91616.

Almost surely, 2^1153504400 is an apocalyptic number.

1153504400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1153504400 is an abundant number, since it is smaller than the sum of its proper divisors (1780824532).

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

1153504400 is a wasteful number, since it uses less digits than its factorization.

1153504400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169668 (or 169657 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 1153504400 is about 33963.2801713851. The cubic root of 1153504400 is about 1048.7526836513.

Adding to 1153504400 its reverse (44053511), we get a palindrome (1197557911).

The spelling of 1153504400 in words is "one billion, one hundred fifty-three million, five hundred four thousand, four hundred".