492320 has 48 divisors (see below), whose sum is σ = 1238328. Its totient is φ = 184320.

The previous prime is 492319. The next prime is 492377. The reversal of 492320 is 23294.

It can be written as a sum of positive squares in 4 ways, for example, as 309136 + 183184 = 556^2 + 428^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 492292 and 492301.

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 7 ways as a sum of consecutive naturals, for example, 2630 + ... + 2810.

2⁴⁹²³²⁰ is an apocalyptic number.

492320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619164).

492320 is an abundant number, since it is smaller than the sum of its proper divisors (746008).

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

492320 is a wasteful number, since it uses less digits than its factorization.

492320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 492320 is about 701.6551859710. The cubic root of 492320 is about 78.9615793521.

The spelling of 492320 in words is "four hundred ninety-two thousand, three hundred twenty".