466829 has 12 divisors (see below), whose sum is σ = 540288. Its totient is φ = 399600.

The previous prime is 466819. The next prime is 466853. The reversal of 466829 is 928664.

466829 = 40² + 41² + ... + 113².

It is not a de Polignac number, because 466829 - 2⁸ = 466573 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466819) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12599 + ... + 12635.

It is an arithmetic number, because the mean of its divisors is an integer number (45024).

2⁴⁶⁶⁸²⁹ is an apocalyptic number.

It is an amenable number.

466829 is a deficient number, since it is larger than the sum of its proper divisors (73459).

466829 is a wasteful number, since it uses less digits than its factorization.

466829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 79 counting only the distinct ones).

The product of its digits is 20736, while the sum is 35.

The square root of 466829 is about 683.2488565669. The cubic root of 466829 is about 77.5745519169.

The spelling of 466829 in words is "four hundred sixty-six thousand, eight hundred twenty-nine".