492804 has 63 divisors (see below), whose sum is σ = 1400133. Its totient is φ = 151632.

The previous prime is 492799. The next prime is 492839. The reversal of 492804 is 408294.

The square root of 492804 is 702.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 72900 + 419904 = 270^2 + 648^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 9 and base 14.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 37902 + ... + 37914.

2⁴⁹²⁸⁰⁴ is an apocalyptic number.

492804 is the 702-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492804

492804 is an abundant number, since it is smaller than the sum of its proper divisors (907329).

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

492804 is a wasteful number, since it uses less digits than its factorization.

492804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The cubic root of 492804 is about 78.9874465980.

Multiplying 492804 by its product of nonzero digits (2304), we get a square (1135420416 = 33696²).

It can be divided in two parts, 49280 and 4, that added together give a square (49284 = 222²).

The spelling of 492804 in words is "four hundred ninety-two thousand, eight hundred four".