442888900 has 36 divisors (see below), whose sum is σ = 966418180. Its totient is φ = 176169600.

The previous prime is 442888837. The next prime is 442888933. The reversal of 442888900 is 9888244.

It can be written as a sum of positive squares in 6 ways, for example, as 174715524 + 268173376 = 13218^2 + 16376^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5866 + ... + 30334.

Almost surely, 2^442888900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442888900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483209090).

442888900 is an abundant number, since it is smaller than the sum of its proper divisors (523529280).

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

442888900 is a wasteful number, since it uses less digits than its factorization.

442888900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24664 (or 24657 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 43.

The square root of 442888900 is about 21044.9257542050. The cubic root of 442888900 is about 762.2514606969.

The spelling of 442888900 in words is "four hundred forty-two million, eight hundred eighty-eight thousand, nine hundred".