442172672 has 36 divisors (see below), whose sum is σ = 884878260. Its totient is φ = 220520448.

The previous prime is 442172671. The next prime is 442172699. The reversal of 442172672 is 276271244.

It can be written as a sum of positive squares in 2 ways, for example, as 120472576 + 321700096 = 10976^2 + 17936^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442172671) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 108854 + ... + 112842.

Almost surely, 2^442172672 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 442172672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442439130).

442172672 is an abundant number, since it is smaller than the sum of its proper divisors (442705588).

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

442172672 is an equidigital number, since it uses as much as digits as its factorization.

442172672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4438 (or 4424 counting only the distinct ones).

The product of its digits is 37632, while the sum is 35.

The square root of 442172672 is about 21027.9022253766. The cubic root of 442172672 is about 761.8403414898.

The spelling of 442172672 in words is "four hundred forty-two million, one hundred seventy-two thousand, six hundred seventy-two".