442312440 has 64 divisors (see below), whose sum is σ = 1329816960. Its totient is φ = 117694080.

The previous prime is 442312411. The next prime is 442312459. The reversal of 442312440 is 44213244.

It is a happy number.

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 442312440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55167 + ... + 62673.

It is an arithmetic number, because the mean of its divisors is an integer number (20778390).

Almost surely, 2^442312440 is an apocalyptic number.

442312440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442312440 is an abundant number, since it is smaller than the sum of its proper divisors (887504520).

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

442312440 is a wasteful number, since it uses less digits than its factorization.

442312440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8012 (or 8008 counting only the distinct ones).

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

The square root of 442312440 is about 21031.2253565977. The cubic root of 442312440 is about 761.9206040134.

Adding to 442312440 its reverse (44213244), we get a palindrome (486525684).

The spelling of 442312440 in words is "four hundred forty-two million, three hundred twelve thousand, four hundred forty".