442802880 has 168 divisors, whose sum is σ = 1640354352. Its totient is φ = 108988416.

The previous prime is 442802879. The next prime is 442802897. The reversal of 442802880 is 88208244.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 31527 + ... + 43353.

It is an arithmetic number, because the mean of its divisors is an integer number (9764014).

Almost surely, 2^442802880 is an apocalyptic number.

442802880 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 442802880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820177176).

442802880 is an abundant number, since it is smaller than the sum of its proper divisors (1197551472).

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

442802880 is a wasteful number, since it uses less digits than its factorization.

442802880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11863 (or 11850 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 442802880 is about 21042.8819319028. The cubic root of 442802880 is about 762.2021081270.

The spelling of 442802880 in words is "four hundred forty-two million, eight hundred two thousand, eight hundred eighty".