442034856 has 96 divisors (see below), whose sum is σ = 1246925160. Its totient is φ = 141336576.

The previous prime is 442034821. The next prime is 442034909. The reversal of 442034856 is 658430244.

It can be written as a sum of positive squares in 4 ways, for example, as 438232356 + 3802500 = 20934^2 + 1950^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 442034856.

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, 193336 + ... + 195608.

Almost surely, 2^442034856 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 442034856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623462580).

442034856 is an abundant number, since it is smaller than the sum of its proper divisors (804890304).

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

442034856 is a wasteful number, since it uses less digits than its factorization.

442034856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2395 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 442034856 is about 21024.6249907103. The cubic root of 442034856 is about 761.7611833500.

The spelling of 442034856 in words is "four hundred forty-two million, thirty-four thousand, eight hundred fifty-six".