442917072 has 280 divisors, whose sum is σ = 1457240064. Its totient is φ = 129330432.

The previous prime is 442917067. The next prime is 442917073. The reversal of 442917072 is 270719244.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442917073) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3487473 + ... + 3487599.

Almost surely, 2^442917072 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 442917072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728620032).

442917072 is an abundant number, since it is smaller than the sum of its proper divisors (1014322992).

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

442917072 is a wasteful number, since it uses less digits than its factorization.

442917072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 442917072 is about 21045.5950735540. The cubic root of 442917072 is about 762.2676225325.

The spelling of 442917072 in words is "four hundred forty-two million, nine hundred seventeen thousand, seventy-two".