442124124 has 96 divisors (see below), whose sum is σ = 1168473600. Its totient is φ = 129093888.

The previous prime is 442124119. The next prime is 442124149. The reversal of 442124124 is 421421244.

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 = 442124094 and 442124103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 534199 + ... + 535025.

It is an arithmetic number, because the mean of its divisors is an integer number (12171600).

Almost surely, 2^442124124 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 442124124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584236800).

442124124 is an abundant number, since it is smaller than the sum of its proper divisors (726349476).

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

442124124 is a wasteful number, since it uses less digits than its factorization.

442124124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1017 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The square root of 442124124 is about 21026.7478227138. The cubic root of 442124124 is about 761.8124585827.

Adding to 442124124 its reverse (421421244), we get a palindrome (863545368).

The spelling of 442124124 in words is "four hundred forty-two million, one hundred twenty-four thousand, one hundred twenty-four".