712480 has 48 divisors (see below), whose sum is σ = 1734264. Its totient is φ = 276480.

The previous prime is 712477. The next prime is 712483. The reversal of 712480 is 84217.

712480 is nontrivially palindromic in base 3.

712480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (712477) and next prime (712483).

It can be written as a sum of positive squares in 4 ways, for example, as 394384 + 318096 = 628^2 + 564^2 .

It is not an unprimeable number, because it can be changed into a prime (712483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9724 + ... + 9796.

2⁷¹²⁴⁸⁰ 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 712480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867132).

712480 is an abundant number, since it is smaller than the sum of its proper divisors (1021784).

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

712480 is a wasteful number, since it uses less digits than its factorization.

712480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 712480 is about 844.0853037460. The cubic root of 712480 is about 89.3149636742.

Adding to 712480 its reverse (84217), we get a palindrome (796697).

The spelling of 712480 in words is "seven hundred twelve thousand, four hundred eighty".