442680 has 128 divisors (see below), whose sum is σ = 1658880. Its totient is φ = 92160.

The previous prime is 442633. The next prime is 442691. The reversal of 442680 is 86244.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 442680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14265 + ... + 14295.

It is an arithmetic number, because the mean of its divisors is an integer number (12960).

2⁴⁴²⁶⁸⁰ is an apocalyptic number.

442680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829440).

442680 is an abundant number, since it is smaller than the sum of its proper divisors (1216200).

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

442680 is a wasteful number, since it uses less digits than its factorization.

442680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 442680 is about 665.3420173114. The cubic root of 442680 is about 76.2131596646.

Subtracting from 442680 its product of nonzero digits (1536), we obtain a palindrome (441144).

The spelling of 442680 in words is "four hundred forty-two thousand, six hundred eighty".