1444865400 has 144 divisors (see below), whose sum is σ = 5293533960. Its totient is φ = 350265600.

The previous prime is 1444865381. The next prime is 1444865419. The reversal of 1444865400 is 45684441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1444865381) and next prime (1444865419).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16687 + ... + 56286.

Almost surely, 2^1444865400 is an apocalyptic number.

1444865400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1444865400 is an abundant number, since it is smaller than the sum of its proper divisors (3848668560).

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

1444865400 is a wasteful number, since it uses less digits than its factorization.

1444865400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73006 (or 72994 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 1444865400 is about 38011.3851365614. The cubic root of 1444865400 is about 1130.5136151567.

The spelling of 1444865400 in words is "one billion, four hundred forty-four million, eight hundred sixty-five thousand, four hundred".