473536 has 42 divisors (see below), whose sum is σ = 1100328. Its totient is φ = 201600.

The previous prime is 473533. The next prime is 473549. The reversal of 473536 is 635374.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 4⁸ + 7⁶ + 5⁵ + 3⁶ + 3⁸ + 6⁷ .

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473531) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3061 + ... + 3211.

2⁴⁷³⁵³⁶ 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 473536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550164).

473536 is an abundant number, since it is smaller than the sum of its proper divisors (626792).

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

473536 is a wasteful number, since it uses less digits than its factorization.

473536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 160 counting only the distinct ones).

The product of its digits is 7560, while the sum is 28.

The square root of 473536 is about 688.1395207369. The cubic root of 473536 is about 77.9442950944.

The spelling of 473536 in words is "four hundred seventy-three thousand, five hundred thirty-six".