442604430 has 192 divisors, whose sum is σ = 1273708800. Its totient is φ = 106237440.

The previous prime is 442604413. The next prime is 442604443. The reversal of 442604430 is 34406244.

It is a junction number, because it is equal to n+sod(n) for n = 442604394 and 442604403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4136437 + ... + 4136543.

It is an arithmetic number, because the mean of its divisors is an integer number (6633900).

Almost surely, 2^442604430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442604430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636854400).

442604430 is an abundant number, since it is smaller than the sum of its proper divisors (831104370).

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

442604430 is a wasteful number, since it uses less digits than its factorization.

442604430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 442604430 is about 21038.1660322377. The cubic root of 442604430 is about 762.0882262943.

The spelling of 442604430 in words is "four hundred forty-two million, six hundred four thousand, four hundred thirty".