442880 has 40 divisors (see below), whose sum is σ = 1068012. Its totient is φ = 176128.

The previous prime is 442879. The next prime is 442903. The reversal of 442880 is 88244.

It can be written as a sum of positive squares in 2 ways, for example, as 430336 + 12544 = 656^2 + 112^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×442880² = 392285388800, which contains 22 as substring.

It is an Ulam number.

It is a d-powerful number, because it can be written as 4⁷ + 4⁹ + 8³ + 2¹⁷ + 8⁵ + 0 .

It is a plaindrome in base 13.

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 3 ways as a sum of consecutive naturals, for example, 2474 + ... + 2646.

2⁴⁴²⁸⁸⁰ is an apocalyptic number.

442880 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 442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534006).

442880 is an abundant number, since it is smaller than the sum of its proper divisors (625132).

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

442880 is an equidigital number, since it uses as much as digits as its factorization.

442880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 442880 is about 665.4922989787. The cubic root of 442880 is about 76.2246354764.

The spelling of 442880 in words is "four hundred forty-two thousand, eight hundred eighty".