1144238400 has 378 divisors, whose sum is σ = 4261841870. Its totient is φ = 302330880.

The previous prime is 1144238371. The next prime is 1144238461. The reversal of 1144238400 is 48324411.

It can be written as a sum of positive squares in 3 ways, for example, as 136048896 + 1008189504 = 11664^2 + 31752^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 53 ways as a sum of consecutive naturals, for example, 10497546 + ... + 10497654.

Almost surely, 2^1144238400 is an apocalyptic number.

1144238400 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 1144238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2130920935).

1144238400 is an abundant number, since it is smaller than the sum of its proper divisors (3117603470).

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

1144238400 is an frugal number, since it uses more digits than its factorization.

1144238400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1144238400 is about 33826.5930888702. The cubic root of 1144238400 is about 1045.9369510869.

The spelling of 1144238400 in words is "one billion, one hundred forty-four million, two hundred thirty-eight thousand, four hundred".