442103640 has 128 divisors (see below), whose sum is σ = 1480723200. Its totient is φ = 104670720.

The previous prime is 442103633. The next prime is 442103659. The reversal of 442103640 is 46301244.

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 442103640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52866 + ... + 60654.

It is an arithmetic number, because the mean of its divisors is an integer number (11568150).

Almost surely, 2^442103640 is an apocalyptic number.

442103640 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 442103640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740361600).

442103640 is an abundant number, since it is smaller than the sum of its proper divisors (1038619560).

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

442103640 is a wasteful number, since it uses less digits than its factorization.

442103640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7857 (or 7853 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 442103640 is about 21026.2607232004. The cubic root of 442103640 is about 761.8006932537.

Adding to 442103640 its reverse (46301244), we get a palindrome (488404884).

The spelling of 442103640 in words is "four hundred forty-two million, one hundred three thousand, six hundred forty".