481712 has 80 divisors (see below), whose sum is σ = 1285632. Its totient is φ = 168960.

The previous prime is 481699. The next prime is 481721. The reversal of 481712 is 217184.

Added to its reverse (217184) it gives a square (698896 = 836²).

481712 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a nude number because it is divisible by every one of its digits.

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 481712.

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, 20933 + ... + 20955.

2⁴⁸¹⁷¹² 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 481712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642816).

481712 is an abundant number, since it is smaller than the sum of its proper divisors (803920).

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

481712 is a wasteful number, since it uses less digits than its factorization.

481712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 60 counting only the distinct ones).

The product of its digits is 448, while the sum is 23.

The square root of 481712 is about 694.0547528834. The cubic root of 481712 is about 78.3903292250.

Adding to 481712 its reverse (217184), we get a palindrome (698896).

The spelling of 481712 in words is "four hundred eighty-one thousand, seven hundred twelve".