492528 has 40 divisors (see below), whose sum is σ = 1317376. Its totient is φ = 158400.

The previous prime is 492523. The next prime is 492551. The reversal of 492528 is 825294.

492528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

492528 is a nontrivial binomial coefficient, being equal to C(993, 2).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 492495 and 492504.

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 492528.

It is not an unprimeable number, because it can be changed into a prime (492523) 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, 1323 + ... + 1653.

2⁴⁹²⁵²⁸ is an apocalyptic number.

492528 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

492528 is the 992-nd triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658688).

492528 is an abundant number, since it is smaller than the sum of its proper divisors (824848).

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

492528 is a wasteful number, since it uses less digits than its factorization.

492528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 367 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 492528 is about 701.8033912714. The cubic root of 492528 is about 78.9726979309.

The spelling of 492528 in words is "four hundred ninety-two thousand, five hundred twenty-eight".