442624 has 72 divisors (see below), whose sum is σ = 1144640. Its totient is φ = 165888.

The previous prime is 442619. The next prime is 442633. The reversal of 442624 is 426244.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 442595 and 442604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23287 + ... + 23305.

2⁴⁴²⁶²⁴ 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 442624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572320).

442624 is an abundant number, since it is smaller than the sum of its proper divisors (702016).

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

442624 is a wasteful number, since it uses less digits than its factorization.

442624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 41 counting only the distinct ones).

The product of its digits is 1536, while the sum is 22.

The square root of 442624 is about 665.2999323613. The cubic root of 442624 is about 76.2099458180.

Adding to 442624 its reverse (426244), we get a palindrome (868868).

The spelling of 442624 in words is "four hundred forty-two thousand, six hundred twenty-four".