442029 has 24 divisors (see below), whose sum is σ = 715008. Its totient is φ = 241920.

The previous prime is 442027. The next prime is 442031. The reversal of 442029 is 920244.

It is an interprime number because it is at equal distance from previous prime (442027) and next prime (442031).

It is not a de Polignac number, because 442029 - 2¹ = 442027 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

442029 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 441996 and 442014.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 442029.

It is not an unprimeable number, because it can be changed into a prime (442027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4509 + ... + 4605.

It is an arithmetic number, because the mean of its divisors is an integer number (29792).

2⁴⁴²⁰²⁹ is an apocalyptic number.

442029 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

442029 is a deficient number, since it is larger than the sum of its proper divisors (272979).

442029 is a wasteful number, since it uses less digits than its factorization.

442029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 442029 is about 664.8526152464. The cubic root of 442029 is about 76.1757819442.

The spelling of 442029 in words is "four hundred forty-two thousand, twenty-nine".