473685828 has 192 divisors, whose sum is σ = 1486356480. Its totient is φ = 113731200.

The previous prime is 473685767. The next prime is 473685853. The reversal of 473685828 is 828586374.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 658453 + ... + 659171.

It is an arithmetic number, because the mean of its divisors is an integer number (7741440).

Almost surely, 2^473685828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 473685828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743178240).

473685828 is an abundant number, since it is smaller than the sum of its proper divisors (1012670652).

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

473685828 is a wasteful number, since it uses less digits than its factorization.

473685828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 796 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 51.

The square root of 473685828 is about 21764.3246621622. The cubic root of 473685828 is about 779.5251481887.

The spelling of 473685828 in words is "four hundred seventy-three million, six hundred eighty-five thousand, eight hundred twenty-eight".