1442380800 has 264 divisors, whose sum is σ = 5450194816. Its totient is φ = 329564160.

The previous prime is 1442380789. The next prime is 1442380811. The reversal of 1442380800 is 80832441.

It is an interprime number because it is at equal distance from previous prime (1442380789) and next prime (1442380811).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 536259 + ... + 538941.

Almost surely, 2^1442380800 is an apocalyptic number.

1442380800 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 1442380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2725097408).

1442380800 is an abundant number, since it is smaller than the sum of its proper divisors (4007814016).

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

1442380800 is a wasteful number, since it uses less digits than its factorization.

1442380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2723 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 1442380800 is about 37978.6887609354. The cubic root of 1442380800 is about 1129.8652304880.

The spelling of 1442380800 in words is "one billion, four hundred forty-two million, three hundred eighty thousand, eight hundred".