466820 has 24 divisors (see below), whose sum is σ = 1038744. Its totient is φ = 175616.

The previous prime is 466819. The next prime is 466853. The reversal of 466820 is 28664.

466820 = T₁₀₉ + T₁₁₀ + ... + T₁₅₉.

It can be written as a sum of positive squares in 4 ways, for example, as 244036 + 222784 = 494^2 + 472^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 466820.

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 466820.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 347 + ... + 1026.

It is an arithmetic number, because the mean of its divisors is an integer number (43281).

2⁴⁶⁶⁸²⁰ is an apocalyptic number.

It is an amenable number.

466820 is an abundant number, since it is smaller than the sum of its proper divisors (571924).

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

466820 is a wasteful number, since it uses less digits than its factorization.

466820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 466820 is about 683.2422703551. The cubic root of 466820 is about 77.5740533936.

The spelling of 466820 in words is "four hundred sixty-six thousand, eight hundred twenty".