442904 has 32 divisors (see below), whose sum is σ = 1036800. Its totient is φ = 172320.

The previous prime is 442903. The next prime is 442919. The reversal of 442904 is 409244.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 442904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 257 + ... + 975.

It is an arithmetic number, because the mean of its divisors is an integer number (32400).

2⁴⁴²⁹⁰⁴ is an apocalyptic number.

442904 is a gapful number since it is divisible by the number (44) 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 442904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518400).

442904 is an abundant number, since it is smaller than the sum of its proper divisors (593896).

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

442904 is a wasteful number, since it uses less digits than its factorization.

442904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 442904 is about 665.5103304983. The cubic root of 442904 is about 76.2260123416.

The spelling of 442904 in words is "four hundred forty-two thousand, nine hundred four".