1144886400 has 480 divisors, whose sum is σ = 4836089280. Its totient is φ = 261273600.

The previous prime is 1144886399. The next prime is 1144886417. The reversal of 1144886400 is 46884411.

1144886400 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 8 + 8 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 1814085 + ... + 1814715.

It is an arithmetic number, because the mean of its divisors is an integer number (10075186).

Almost surely, 2^1144886400 is an apocalyptic number.

1144886400 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 1144886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2418044640).

1144886400 is an abundant number, since it is smaller than the sum of its proper divisors (3691202880).

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

1144886400 is an equidigital number, since it uses as much as digits as its factorization.

1144886400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1144886400 is about 33836.1699960264. The cubic root of 1144886400 is about 1046.1343572805.

The spelling of 1144886400 in words is "one billion, one hundred forty-four million, eight hundred eighty-six thousand, four hundred".