442440240 has 160 divisors (see below), whose sum is σ = 1548115200. Its totient is φ = 103541760.

The previous prime is 442440221. The next prime is 442440241. The reversal of 442440240 is 42044244.

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 442440240.

It is not an unprimeable number, because it can be changed into a prime (442440241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73671 + ... + 79449.

It is an arithmetic number, because the mean of its divisors is an integer number (9675720).

Almost surely, 2^442440240 is an apocalyptic number.

442440240 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 442440240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774057600).

442440240 is an abundant number, since it is smaller than the sum of its proper divisors (1105674960).

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

442440240 is a wasteful number, since it uses less digits than its factorization.

442440240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5835 (or 5829 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 442440240 is about 21034.2634765280. The cubic root of 442440240 is about 761.9939790515.

Adding to 442440240 its reverse (42044244), we get a palindrome (484484484).

The spelling of 442440240 in words is "four hundred forty-two million, four hundred forty thousand, two hundred forty".