473712 has 40 divisors (see below), whose sum is σ = 1249920. Its totient is φ = 154560.

The previous prime is 473659. The next prime is 473719. The reversal of 473712 is 217374.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473719) by changing a digit.

473712 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 7 ways as a sum of consecutive naturals, for example, 3339 + ... + 3477.

It is an arithmetic number, because the mean of its divisors is an integer number (31248).

2⁴⁷³⁷¹² 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 473712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624960).

473712 is an abundant number, since it is smaller than the sum of its proper divisors (776208).

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

473712 is a wasteful number, since it uses less digits than its factorization.

473712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 215 counting only the distinct ones).

The product of its digits is 1176, while the sum is 24.

The square root of 473712 is about 688.2673899002. The cubic root of 473712 is about 77.9539504650.

The spelling of 473712 in words is "four hundred seventy-three thousand, seven hundred twelve", and thus it is an iban number.