442372 has 36 divisors (see below), whose sum is σ = 940044. Its totient is φ = 181440.

The previous prime is 442367. The next prime is 442397. The reversal of 442372 is 273244.

It can be written as a sum of positive squares in 2 ways, for example, as 188356 + 254016 = 434^2 + 504^2 .

It is a d-powerful number, because it can be written as 4⁵ + 4⁹ + 3¹¹ + 2 + 7 + 2¹¹ .

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7222 + ... + 7282.

2⁴⁴²³⁷² 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 442372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470022).

442372 is an abundant number, since it is smaller than the sum of its proper divisors (497672).

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

442372 is a wasteful number, since it uses less digits than its factorization.

442372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 107 counting only the distinct ones).

The product of its digits is 1344, while the sum is 22.

The square root of 442372 is about 665.1105171323. The cubic root of 442372 is about 76.1954801525.

The spelling of 442372 in words is "four hundred forty-two thousand, three hundred seventy-two", and thus it is an iban number.