1144602400 has 72 divisors (see below), whose sum is σ = 2869855380. Its totient is φ = 445455360.

The previous prime is 1144602391. The next prime is 1144602439. The reversal of 1144602400 is 42064411.

It can be written as a sum of positive squares in 6 ways, for example, as 441504144 + 703098256 = 21012^2 + 26516^2 .

It is a super-2 number, since 2×1144602400² = 2620229308171520000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10266 + ... + 48934.

Almost surely, 2^1144602400 is an apocalyptic number.

1144602400 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 1144602400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434927690).

1144602400 is an abundant number, since it is smaller than the sum of its proper divisors (1725252980).

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

1144602400 is a wasteful number, since it uses less digits than its factorization.

1144602400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38726 (or 38713 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 1144602400 is about 33831.9730432619. The cubic root of 1144602400 is about 1046.0478489226.

Adding to 1144602400 its reverse (42064411), we get a palindrome (1186666811).

The spelling of 1144602400 in words is "one billion, one hundred forty-four million, six hundred two thousand, four hundred".