1144576800 has 216 divisors, whose sum is σ = 4094737920. Its totient is φ = 300787200.

The previous prime is 1144576747. The next prime is 1144576801. The reversal of 1144576800 is 86754411.

It is a happy number.

1144576800 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 576 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1144576801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 510081 + ... + 512319.

It is an arithmetic number, because the mean of its divisors is an integer number (18957120).

Almost surely, 2^1144576800 is an apocalyptic number.

1144576800 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 1144576800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047368960).

1144576800 is an abundant number, since it is smaller than the sum of its proper divisors (2950161120).

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

1144576800 is a wasteful number, since it uses less digits than its factorization.

1144576800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2336 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1144576800 is about 33831.5947008118. The cubic root of 1144576800 is about 1046.0400502831.

The spelling of 1144576800 in words is "one billion, one hundred forty-four million, five hundred seventy-six thousand, eight hundred".