442260304 has 40 divisors (see below), whose sum is σ = 915376680. Its totient is φ = 206266368.

The previous prime is 442260293. The next prime is 442260311. The reversal of 442260304 is 403062244.

It can be written as a sum of positive squares in 4 ways, for example, as 4613904 + 437646400 = 2148^2 + 20920^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23542 + ... + 37930.

It is an arithmetic number, because the mean of its divisors is an integer number (22884417).

Almost surely, 2^442260304 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 442260304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457688340).

442260304 is an abundant number, since it is smaller than the sum of its proper divisors (473116376).

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

442260304 is a wasteful number, since it uses less digits than its factorization.

442260304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14527 (or 14521 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 442260304 is about 21029.9858297622. The cubic root of 442260304 is about 761.8906666132.

The spelling of 442260304 in words is "four hundred forty-two million, two hundred sixty thousand, three hundred four".