442053120 has 80 divisors (see below), whose sum is σ = 1413213120. Its totient is φ = 117878784.

The previous prime is 442053113. The next prime is 442053133. The reversal of 442053120 is 21350244.

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

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, 21100 + ... + 36459.

It is an arithmetic number, because the mean of its divisors is an integer number (17665164).

Almost surely, 2^442053120 is an apocalyptic number.

442053120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442053120 is an abundant number, since it is smaller than the sum of its proper divisors (971160000).

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

442053120 is an equidigital number, since it uses as much as digits as its factorization.

442053120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57585 (or 57569 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 442053120 is about 21025.0593340423. The cubic root of 442053120 is about 761.7716746906.

The spelling of 442053120 in words is "four hundred forty-two million, fifty-three thousand, one hundred twenty".