442714410 has 128 divisors (see below), whose sum is σ = 1235589120. Its totient is φ = 114073920.

The previous prime is 442714403. The next prime is 442714417. The reversal of 442714410 is 14417244.

It is an interprime number because it is at equal distance from previous prime (442714403) and next prime (442714417).

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442714417) 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, 677644 + ... + 678296.

It is an arithmetic number, because the mean of its divisors is an integer number (9653040).

Almost surely, 2^442714410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442714410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617794560).

442714410 is an abundant number, since it is smaller than the sum of its proper divisors (792874710).

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

442714410 is an equidigital number, since it uses as much as digits as its factorization.

442714410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 442714410 is about 21040.7796908765. The cubic root of 442714410 is about 762.1513432420.

The spelling of 442714410 in words is "four hundred forty-two million, seven hundred fourteen thousand, four hundred ten".