442213440 has 112 divisors (see below), whose sum is σ = 1408249152. Its totient is φ = 117569536.

The previous prime is 442213439. The next prime is 442213441. The reversal of 442213440 is 44312244.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (442213439) and next prime (442213441).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 442213440.

It is not an unprimeable number, because it can be changed into a prime (442213441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 534307 + ... + 535133.

Almost surely, 2^442213440 is an apocalyptic number.

442213440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704124576).

442213440 is an abundant number, since it is smaller than the sum of its proper divisors (966035712).

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

442213440 is a wasteful number, since it uses less digits than its factorization.

442213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 1394 counting only the distinct ones).

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

The square root of 442213440 is about 21028.8715817088. The cubic root of 442213440 is about 761.8637544794.

Adding to 442213440 its reverse (44312244), we get a palindrome (486525684).

The spelling of 442213440 in words is "four hundred forty-two million, two hundred thirteen thousand, four hundred forty".