442920 has 32 divisors (see below), whose sum is σ = 1329120. Its totient is φ = 118080.

The previous prime is 442919. The next prime is 442961. The reversal of 442920 is 29244.

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 442920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1726 + ... + 1965.

It is an arithmetic number, because the mean of its divisors is an integer number (41535).

2⁴⁴²⁹²⁰ is an apocalyptic number.

442920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442920 is an abundant number, since it is smaller than the sum of its proper divisors (886200).

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

442920 is a wasteful number, since it uses less digits than its factorization.

442920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3705 (or 3701 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 442920 is about 665.5223512400. The cubic root of 442920 is about 76.2269302241.

It can be divided in two parts, 4 and 42920, that added together give a palindrome (42924).

The spelling of 442920 in words is "four hundred forty-two thousand, nine hundred twenty".