442331360 has 48 divisors (see below), whose sum is σ = 1052578800. Its totient is φ = 175650816.

The previous prime is 442331359. The next prime is 442331371. The reversal of 442331360 is 63133244.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12296 + ... + 32184.

It is an arithmetic number, because the mean of its divisors is an integer number (21928725).

Almost surely, 2^442331360 is an apocalyptic number.

442331360 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 442331360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526289400).

442331360 is an abundant number, since it is smaller than the sum of its proper divisors (610247440).

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

442331360 is a wasteful number, since it uses less digits than its factorization.

442331360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20043 (or 20035 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 442331360 is about 21031.6751591498. The cubic root of 442331360 is about 761.9314676254.

The spelling of 442331360 in words is "four hundred forty-two million, three hundred thirty-one thousand, three hundred sixty".