442141824 has 64 divisors (see below), whose sum is σ = 1201796640. Its totient is φ = 143947776.

The previous prime is 442141807. The next prime is 442141841. The reversal of 442141824 is 428141244.

It is an interprime number because it is at equal distance from previous prime (442141807) and next prime (442141841).

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 442141791 and 442141800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3124 + ... + 29900.

Almost surely, 2^442141824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442141824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600898320).

442141824 is an abundant number, since it is smaller than the sum of its proper divisors (759654816).

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

442141824 is a wasteful number, since it uses less digits than its factorization.

442141824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26837 (or 26825 counting only the distinct ones).

The product of its digits is 8192, while the sum is 30.

The square root of 442141824 is about 21027.1687109796. The cubic root of 442141824 is about 761.8226245820.

The spelling of 442141824 in words is "four hundred forty-two million, one hundred forty-one thousand, eight hundred twenty-four".