473820 has 48 divisors (see below), whose sum is σ = 1360800. Its totient is φ = 123136.

The previous prime is 473789. The next prime is 473833. The reversal of 473820 is 28374.

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3106 + ... + 3254.

It is an arithmetic number, because the mean of its divisors is an integer number (28350).

2⁴⁷³⁸²⁰ 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 473820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680400).

473820 is an abundant number, since it is smaller than the sum of its proper divisors (886980).

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

473820 is a wasteful number, since it uses less digits than its factorization.

473820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 473820 is about 688.3458433084. The cubic root of 473820 is about 77.9598741675.

The spelling of 473820 in words is "four hundred seventy-three thousand, eight hundred twenty".