442314240 has 80 divisors (see below), whose sum is σ = 1414047888. Its totient is φ = 117948416.

The previous prime is 442314199. The next prime is 442314251. The reversal of 442314240 is 42413244.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 442314240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21117 + ... + 36476.

Almost surely, 2^442314240 is an apocalyptic number.

442314240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442314240 is an abundant number, since it is smaller than the sum of its proper divisors (971733648).

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

442314240 is an equidigital number, since it uses as much as digits as its factorization.

442314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57619 (or 57603 counting only the distinct ones).

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

The square root of 442314240 is about 21031.2681500665. The cubic root of 442314240 is about 761.9216375627.

Adding to 442314240 its reverse (42413244), we get a palindrome (484727484).

The spelling of 442314240 in words is "four hundred forty-two million, three hundred fourteen thousand, two hundred forty".