442298880 has 320 divisors, whose sum is σ = 1610611200. Its totient is φ = 116453376.

The previous prime is 442298873. The next prime is 442298881. The reversal of 442298880 is 88892244.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (442298881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5598681 + ... + 5598759.

It is an arithmetic number, because the mean of its divisors is an integer number (5033160).

Almost surely, 2^442298880 is an apocalyptic number.

442298880 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 442298880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805305600).

442298880 is an abundant number, since it is smaller than the sum of its proper divisors (1168312320).

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

442298880 is an frugal number, since it uses more digits than its factorization.

442298880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 442298880 is about 21030.9029763346. The cubic root of 442298880 is about 761.9128178513.

The spelling of 442298880 in words is "four hundred forty-two million, two hundred ninety-eight thousand, eight hundred eighty".