492864 has 56 divisors (see below), whose sum is σ = 1389888. Its totient is φ = 153600.

The previous prime is 492853. The next prime is 492871. The reversal of 492864 is 468294.

492864 = 230² + 231² + ... + 238².

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

492864 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 3189 + ... + 3339.

2⁴⁹²⁸⁶⁴ 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 492864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694944).

492864 is an abundant number, since it is smaller than the sum of its proper divisors (897024).

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

492864 is a wasteful number, since it uses less digits than its factorization.

492864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 173 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 492864 is about 702.0427337420. The cubic root of 492864 is about 78.9906521012.

The spelling of 492864 in words is "four hundred ninety-two thousand, eight hundred sixty-four".