1150104400 has 90 divisors (see below), whose sum is σ = 2935518650. Its totient is φ = 432936960.

The previous prime is 1150104391. The next prime is 1150104401. The reversal of 1150104400 is 44010511.

It can be written as a sum of positive squares in 9 ways, for example, as 95413824 + 1054690576 = 9768^2 + 32476^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1150104401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 110626 + ... + 120574.

Almost surely, 2^1150104400 is an apocalyptic number.

1150104400 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 1150104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467759325).

1150104400 is an abundant number, since it is smaller than the sum of its proper divisors (1785414250).

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

1150104400 is a wasteful number, since it uses less digits than its factorization.

1150104400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10001 (or 9973 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 1150104400 is about 33913.1891747149. The cubic root of 1150104400 is about 1047.7212562092.

Adding to 1150104400 its reverse (44010511), we get a palindrome (1194114911).

The spelling of 1150104400 in words is "one billion, one hundred fifty million, one hundred four thousand, four hundred".