442330504 has 96 divisors (see below), whose sum is σ = 1078257600. Its totient is φ = 166320000.

The previous prime is 442330487. The next prime is 442330529. The reversal of 442330504 is 405033244.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195379 + ... + 197629.

It is an arithmetic number, because the mean of its divisors is an integer number (11231850).

Almost surely, 2^442330504 is an apocalyptic number.

442330504 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 442330504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539128800).

442330504 is an abundant number, since it is smaller than the sum of its proper divisors (635927096).

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

442330504 is a wasteful number, since it uses less digits than its factorization.

442330504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2315 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 442330504 is about 21031.6548088827. The cubic root of 442330504 is about 761.9309761283.

Adding to 442330504 its reverse (405033244), we get a palindrome (847363748).

The spelling of 442330504 in words is "four hundred forty-two million, three hundred thirty thousand, five hundred four".