442920192 has 288 divisors, whose sum is σ = 1435378560. Its totient is φ = 119439360.

The previous prime is 442920143. The next prime is 442920209. The reversal of 442920192 is 291029244.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4063434 + ... + 4063542.

Almost surely, 2^442920192 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 442920192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717689280).

442920192 is an abundant number, since it is smaller than the sum of its proper divisors (992458368).

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

442920192 is a wasteful number, since it uses less digits than its factorization.

442920192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 442920192 is about 21045.6691981985. The cubic root of 442920192 is about 762.2694123856.

The spelling of 442920192 in words is "four hundred forty-two million, nine hundred twenty thousand, one hundred ninety-two".