442728405 has 48 divisors (see below), whose sum is σ = 923195520. Its totient is φ = 191735424.

The previous prime is 442728401. The next prime is 442728409. The reversal of 442728405 is 504827244.

It is an interprime number because it is at equal distance from previous prime (442728401) and next prime (442728409).

It is not a de Polignac number, because 442728405 - 2² = 442728401 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 442728405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442728401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31002 + ... + 42971.

It is an arithmetic number, because the mean of its divisors is an integer number (19233240).

Almost surely, 2^442728405 is an apocalyptic number.

442728405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

442728405 is an abundant number, since it is smaller than the sum of its proper divisors (480467115).

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

442728405 is a wasteful number, since it uses less digits than its factorization.

442728405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74010 (or 74007 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 442728405 is about 21041.1122567226. The cubic root of 442728405 is about 762.1593741497.

The spelling of 442728405 in words is "four hundred forty-two million, seven hundred twenty-eight thousand, four hundred five".