442260 has 144 divisors (see below), whose sum is σ = 1712256. Its totient is φ = 93312.

The previous prime is 442243. The next prime is 442271. The reversal of 442260 is 62244.

442260 = 9³ + 10³ + ... + 36³.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 442260.

It is an unprimeable number.

442260 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34014 + ... + 34026.

2⁴⁴²²⁶⁰ 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 442260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856128).

442260 is an abundant number, since it is smaller than the sum of its proper divisors (1269996).

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

442260 is a wasteful number, since it uses less digits than its factorization.

442260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 442260 is about 665.0263152688. The cubic root of 442260 is about 76.1890492044.

It can be divided in two parts, 44 and 2260, that added together give a square (2304 = 48²).

The spelling of 442260 in words is "four hundred forty-two thousand, two hundred sixty".