478829 has 4 divisors (see below), whose sum is σ = 515676. Its totient is φ = 441984.

The previous prime is 478823. The next prime is 478831. The reversal of 478829 is 928874.

478829 = 123² + 124² + ... + 148².

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 928874 = 2 ⋅464437.

It can be written as a sum of positive squares in 2 ways, for example, as 29929 + 448900 = 173^2 + 670^2 .

It is a cyclic number.

It is not a de Polignac number, because 478829 - 2⁴ = 478813 is a prime.

It is a super-3 number, since 3×478829³ = 329353733343950367, which contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 478792 and 478801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478823) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18404 + ... + 18429.

It is an arithmetic number, because the mean of its divisors is an integer number (128919).

2⁴⁷⁸⁸²⁹ is an apocalyptic number.

It is an amenable number.

478829 is a deficient number, since it is larger than the sum of its proper divisors (36847).

478829 is a wasteful number, since it uses less digits than its factorization.

478829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36846.

The product of its digits is 32256, while the sum is 38.

The square root of 478829 is about 691.9747105206. The cubic root of 478829 is about 78.2336300039.

The spelling of 478829 in words is "four hundred seventy-eight thousand, eight hundred twenty-nine".