820484 has 12 divisors (see below), whose sum is σ = 1641024. Its totient is φ = 351624.

The previous prime is 820481. The next prime is 820489. The reversal of 820484 is 484028.

820484 is an admirable number.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (820481) 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, 14624 + ... + 14679.

It is an arithmetic number, because the mean of its divisors is an integer number (136752).

2⁸²⁰⁴⁸⁴ is an apocalyptic number.

It is an amenable number.

820484 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

820484 is a wasteful number, since it uses less digits than its factorization.

820484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29314 (or 29312 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 820484 is about 905.8057186836. The cubic root of 820484 is about 93.6174280256.

The spelling of 820484 in words is "eight hundred twenty thousand, four hundred eighty-four".