473484 has 48 divisors (see below), whose sum is σ = 1282176. Its totient is φ = 134400.

The previous prime is 473479. The next prime is 473497. The reversal of 473484 is 484374.

473484 is nontrivially palindromic in base 15.

It is a zygodrome in base 2.

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 473484.

It is an unprimeable number.

473484 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2139 + ... + 2349.

It is an arithmetic number, because the mean of its divisors is an integer number (26712).

2⁴⁷³⁴⁸⁴ is an apocalyptic number.

473484 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 473484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641088).

473484 is an abundant number, since it is smaller than the sum of its proper divisors (808692).

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

473484 is a wasteful number, since it uses less digits than its factorization.

473484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 244 counting only the distinct ones).

The product of its digits is 10752, while the sum is 30.

The square root of 473484 is about 688.1017366640. The cubic root of 473484 is about 77.9414419134.

The spelling of 473484 in words is "four hundred seventy-three thousand, four hundred eighty-four".