442290120 has 32 divisors (see below), whose sum is σ = 1326870720. Its totient is φ = 117944000.

The previous prime is 442290109. The next prime is 442290127. The reversal of 442290120 is 21092244.

It is a super-2 number, since 2×442290120² = 391241100499228800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (442290127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1842756 + ... + 1842995.

It is an arithmetic number, because the mean of its divisors is an integer number (41464710).

Almost surely, 2^442290120 is an apocalyptic number.

442290120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442290120 is an abundant number, since it is smaller than the sum of its proper divisors (884580600).

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

442290120 is a wasteful number, since it uses less digits than its factorization.

442290120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3685765 (or 3685761 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 442290120 is about 21030.6947103513. The cubic root of 442290120 is about 761.9077877682.

The spelling of 442290120 in words is "four hundred forty-two million, two hundred ninety thousand, one hundred twenty".