442124034 has 64 divisors (see below), whose sum is σ = 1019934720. Its totient is φ = 126360000.

The previous prime is 442124027. The next prime is 442124047. The reversal of 442124034 is 430421244.

It is a happy number.

It is a super-2 number, since 2×442124034² = 390947322880866312, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 442123995 and 442124013.

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, 339184 + ... + 340484.

It is an arithmetic number, because the mean of its divisors is an integer number (15936480).

Almost surely, 2^442124034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442124034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509967360).

442124034 is an abundant number, since it is smaller than the sum of its proper divisors (577810686).

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

442124034 is a wasteful number, since it uses less digits than its factorization.

442124034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607.

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 442124034 is about 21026.7456825825. The cubic root of 442124034 is about 761.8124068905.

Adding to 442124034 its reverse (430421244), we get a palindrome (872545278).

The spelling of 442124034 in words is "four hundred forty-two million, one hundred twenty-four thousand, thirty-four".