1150632400 has 120 divisors (see below), whose sum is σ = 2940660000. Its totient is φ = 431424000.

The previous prime is 1150632383. The next prime is 1150632407. The reversal of 1150632400 is 42360511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1150632407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 766851 + ... + 768349.

It is an arithmetic number, because the mean of its divisors is an integer number (24505500).

Almost surely, 2^1150632400 is an apocalyptic number.

1150632400 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 1150632400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470330000).

1150632400 is an abundant number, since it is smaller than the sum of its proper divisors (1790027600).

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

1150632400 is a wasteful number, since it uses less digits than its factorization.

1150632400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 1150632400 is about 33920.9728634071. The cubic root of 1150632400 is about 1047.8815640298.

Adding to 1150632400 its reverse (42360511), we get a palindrome (1192992911).

The spelling of 1150632400 in words is "one billion, one hundred fifty million, six hundred thirty-two thousand, four hundred".