1442863800 has 768 divisors, whose sum is σ = 6249600000. Its totient is φ = 304819200.

The previous prime is 1442863789. The next prime is 1442863811. The reversal of 1442863800 is 83682441.

1442863800 is a `hidden beast` number, since 14 + 4 + 2 + 8 + 638 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1442863789) and next prime (1442863811).

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35191780 + ... + 35191820.

It is an arithmetic number, because the mean of its divisors is an integer number (8137500).

Almost surely, 2^1442863800 is an apocalyptic number.

1442863800 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 1442863800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3124800000).

1442863800 is an abundant number, since it is smaller than the sum of its proper divisors (4806736200).

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

1442863800 is a wasteful number, since it uses less digits than its factorization.

1442863800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1442863800 is about 37985.0470580201. The cubic root of 1442863800 is about 1129.9913331102.

The spelling of 1442863800 in words is "one billion, four hundred forty-two million, eight hundred sixty-three thousand, eight hundred".