1144515400 has 96 divisors (see below), whose sum is σ = 3071053440. Its totient is φ = 388546560.

The previous prime is 1144515343. The next prime is 1144515401. The reversal of 1144515400 is 45154411.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1144515401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140232 + ... + 148168.

It is an arithmetic number, because the mean of its divisors is an integer number (31990140).

Almost surely, 2^1144515400 is an apocalyptic number.

1144515400 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 1144515400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535526720).

1144515400 is an abundant number, since it is smaller than the sum of its proper divisors (1926538040).

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

1144515400 is a wasteful number, since it uses less digits than its factorization.

1144515400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8063 (or 8054 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 1144515400 is about 33830.6872528478. The cubic root of 1144515400 is about 1046.0213452596.

Adding to 1144515400 its reverse (45154411), we get a palindrome (1189669811).

The spelling of 1144515400 in words is "one billion, one hundred forty-four million, five hundred fifteen thousand, four hundred".