442914472 has 256 divisors, whose sum is σ = 1219276800. Its totient is φ = 145152000.

The previous prime is 442914467. The next prime is 442914487. The reversal of 442914472 is 274419244.

It is a happy number.

Its product of digits (64512) is a multiple of the sum of its prime factors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6238197 + ... + 6238267.

It is an arithmetic number, because the mean of its divisors is an integer number (4762800).

Almost surely, 2^442914472 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 442914472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609638400).

442914472 is an abundant number, since it is smaller than the sum of its proper divisors (776362328).

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

442914472 is a wasteful number, since it uses less digits than its factorization.

442914472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 164 counting only the distinct ones).

The product of its digits is 64512, while the sum is 37.

The square root of 442914472 is about 21045.5333028175. The cubic root of 442914472 is about 762.2661309819.

The spelling of 442914472 in words is "four hundred forty-two million, nine hundred fourteen thousand, four hundred seventy-two".