442213410 has 128 divisors (see below), whose sum is σ = 1181952000. Its totient is φ = 105380352.

The previous prime is 442213403. The next prime is 442213411. The reversal of 442213410 is 14312244.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (442213411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1166601 + ... + 1166979.

It is an arithmetic number, because the mean of its divisors is an integer number (9234000).

Almost surely, 2^442213410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442213410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590976000).

442213410 is an abundant number, since it is smaller than the sum of its proper divisors (739738590).

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

442213410 is a wasteful number, since it uses less digits than its factorization.

442213410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 442213410 is about 21028.8708684038. The cubic root of 442213410 is about 761.8637372510.

Adding to 442213410 its reverse (14312244), we get a palindrome (456525654).

The spelling of 442213410 in words is "four hundred forty-two million, two hundred thirteen thousand, four hundred ten".