442538880 has 256 divisors, whose sum is σ = 1697932800. Its totient is φ = 95772672.

The previous prime is 442538879. The next prime is 442538891. The reversal of 442538880 is 88835244.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254494 + ... + 256226.

It is an arithmetic number, because the mean of its divisors is an integer number (6632550).

Almost surely, 2^442538880 is an apocalyptic number.

442538880 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 442538880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848966400).

442538880 is an abundant number, since it is smaller than the sum of its proper divisors (1255393920).

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

442538880 is a wasteful number, since it uses less digits than its factorization.

442538880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The square root of 442538880 is about 21036.6080916102. The cubic root of 442538880 is about 762.0506025185.

The spelling of 442538880 in words is "four hundred forty-two million, five hundred thirty-eight thousand, eight hundred eighty".