442405530 has 128 divisors (see below), whose sum is σ = 1365811200. Its totient is φ = 99807552.

The previous prime is 442405511. The next prime is 442405531. The reversal of 442405530 is 35504244.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 442405494 and 442405503.

It is not an unprimeable number, because it can be changed into a prime (442405531) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147829 + ... + 150791.

It is an arithmetic number, because the mean of its divisors is an integer number (10670400).

Almost surely, 2^442405530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442405530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682905600).

442405530 is an abundant number, since it is smaller than the sum of its proper divisors (923405670).

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

442405530 is a wasteful number, since it uses less digits than its factorization.

442405530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3065 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 442405530 is about 21033.4383779733. The cubic root of 442405530 is about 761.9740520645.

Adding to 442405530 its reverse (35504244), we get a palindrome (477909774).

It can be divided in two parts, 44240 and 5530, that added together give a triangular number (49770 = T₃₁₅).

The spelling of 442405530 in words is "four hundred forty-two million, four hundred five thousand, five hundred thirty".