442043160 has 192 divisors, whose sum is σ = 1460954880. Its totient is φ = 106928640.

The previous prime is 442043159. The next prime is 442043177. The reversal of 442043160 is 61340244.

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 442043160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1439727 + ... + 1440033.

It is an arithmetic number, because the mean of its divisors is an integer number (7609140).

Almost surely, 2^442043160 is an apocalyptic number.

442043160 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 442043160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730477440).

442043160 is an abundant number, since it is smaller than the sum of its proper divisors (1018911720).

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

442043160 is a wasteful number, since it uses less digits than its factorization.

442043160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 442043160 is about 21024.8224724966. The cubic root of 442043160 is about 761.7659534303.

The spelling of 442043160 in words is "four hundred forty-two million, forty-three thousand, one hundred sixty".