480029 has 12 divisors (see below), whose sum is σ = 559968. Its totient is φ = 408000.

The previous prime is 480023. The next prime is 480043. The reversal of 480029 is 920084.

It is not a de Polignac number, because 480029 - 2⁴ = 480013 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 479986 and 480013.

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 480029.

It is not an unprimeable number, because it can be changed into a prime (480023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3104 + ... + 3254.

It is an arithmetic number, because the mean of its divisors is an integer number (46664).

2⁴⁸⁰⁰²⁹ is an apocalyptic number.

It is an amenable number.

480029 is a deficient number, since it is larger than the sum of its proper divisors (79939).

480029 is a wasteful number, since it uses less digits than its factorization.

480029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 480029 is about 692.8412516587. The cubic root of 480029 is about 78.2989296133.

The spelling of 480029 in words is "four hundred eighty thousand, twenty-nine".