442260900 has 81 divisors (see below), whose sum is σ = 1388222563. Its totient is φ = 117768000.

The previous prime is 442260883. The next prime is 442260901. The reversal of 442260900 is 9062244.

The square root of 442260900 is 21030.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 30008484 + 412252416 = 5478^2 + 20304^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (442260901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 630550 + ... + 631250.

Almost surely, 2^442260900 is an apocalyptic number.

442260900 is the 21030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442260900

442260900 is an abundant number, since it is smaller than the sum of its proper divisors (945961663).

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

442260900 is a wasteful number, since it uses less digits than its factorization.

442260900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The cubic root of 442260900 is about 761.8910088601.

The spelling of 442260900 in words is "four hundred forty-two million, two hundred sixty thousand, nine hundred".