442800 has 120 divisors (see below), whose sum is σ = 1614480. Its totient is φ = 115200.

The previous prime is 442789. The next prime is 442807. The reversal of 442800 is 8244.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (442807) by changing a digit.

442800 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 23 ways as a sum of consecutive naturals, for example, 10780 + ... + 10820.

It is an arithmetic number, because the mean of its divisors is an integer number (13454).

2⁴⁴²⁸⁰⁰ is an apocalyptic number.

442800 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 442800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807240).

442800 is an abundant number, since it is smaller than the sum of its proper divisors (1171680).

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

442800 is a wasteful number, since it uses less digits than its factorization.

442800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 442800 is about 665.4321903846. The cubic root of 442800 is about 76.2200455663.

The spelling of 442800 in words is "four hundred forty-two thousand, eight hundred".