442514880 has 112 divisors (see below), whose sum is σ = 1561124640. Its totient is φ = 118001664.

The previous prime is 442514869. The next prime is 442514887. The reversal of 442514880 is 88415244.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442514887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16969 + ... + 34248.

Almost surely, 2^442514880 is an apocalyptic number.

442514880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442514880 is an abundant number, since it is smaller than the sum of its proper divisors (1118609760).

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

442514880 is a wasteful number, since it uses less digits than its factorization.

442514880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51243 (or 51227 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 442514880 is about 21036.0376497096. The cubic root of 442514880 is about 762.0368262939.

The spelling of 442514880 in words is "four hundred forty-two million, five hundred fourteen thousand, eight hundred eighty".