1125524400 has 480 divisors, whose sum is σ = 4846023168. Its totient is φ = 215654400.

The previous prime is 1125524383. The next prime is 1125524437. The reversal of 1125524400 is 44255211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1200732 + ... + 1201668.

Almost surely, 2^1125524400 is an apocalyptic number.

1125524400 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 1125524400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423011584).

1125524400 is an abundant number, since it is smaller than the sum of its proper divisors (3720498768).

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

1125524400 is a wasteful number, since it uses less digits than its factorization.

1125524400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 1125524400 is about 33548.8360453832. The cubic root of 1125524400 is about 1040.2034858245.

Adding to 1125524400 its reverse (44255211), we get a palindrome (1169779611).

It can be divided in two parts, 1125 and 524400, that added together give a palindrome (525525).

The spelling of 1125524400 in words is "one billion, one hundred twenty-five million, five hundred twenty-four thousand, four hundred".