492712 has 24 divisors (see below), whose sum is σ = 1017450. Its totient is φ = 223520.

The previous prime is 492707. The next prime is 492719. The reversal of 492712 is 217294.

It can be written as a sum of positive squares in only one way, i.e., 352836 + 139876 = 594^2 + 374^2 .

It is a super-2 number, since 2×492712² = 485530229888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (492719) 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, 714 + ... + 1222.

2⁴⁹²⁷¹² 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 492712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508725).

492712 is an abundant number, since it is smaller than the sum of its proper divisors (524738).

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

492712 is a wasteful number, since it uses less digits than its factorization.

492712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 522 counting only the distinct ones).

The product of its digits is 1008, while the sum is 25.

The square root of 492712 is about 701.9344698759. The cubic root of 492712 is about 78.9825309876.

The spelling of 492712 in words is "four hundred ninety-two thousand, seven hundred twelve".