442002480 has 80 divisors (see below), whose sum is σ = 1385670240. Its totient is φ = 116537344.

The previous prime is 442002439. The next prime is 442002497. The reversal of 442002480 is 84200244.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 442002480.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11014 + ... + 31706.

It is an arithmetic number, because the mean of its divisors is an integer number (17320878).

Almost surely, 2^442002480 is an apocalyptic number.

442002480 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 442002480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692835120).

442002480 is an abundant number, since it is smaller than the sum of its proper divisors (943667760).

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

442002480 is a wasteful number, since it uses less digits than its factorization.

442002480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20798 (or 20792 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 442002480 is about 21023.8550223312. The cubic root of 442002480 is about 761.7425849809.

The spelling of 442002480 in words is "four hundred forty-two million, two thousand, four hundred eighty".