1442563200 has 288 divisors, whose sum is σ = 5544788340. Its totient is φ = 355000320.

The previous prime is 1442563127. The next prime is 1442563259. The reversal of 1442563200 is 23652441.

1442563200 is a `hidden beast` number, since 1 + 4 + 4 + 25 + 632 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 731594304 + 710968896 = 27048^2 + 26664^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 372474 + ... + 376326.

Almost surely, 2^1442563200 is an apocalyptic number.

1442563200 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 1442563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2772394170).

1442563200 is an abundant number, since it is smaller than the sum of its proper divisors (4102225140).

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

1442563200 is a wasteful number, since it uses less digits than its factorization.

1442563200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3896 (or 3876 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1442563200 is about 37981.0900317513. The cubic root of 1442563200 is about 1129.9128551587.

It can be divided in two parts, 144256 and 3200, that added together give a square (147456 = 384²).

The spelling of 1442563200 in words is "one billion, four hundred forty-two million, five hundred sixty-three thousand, two hundred".