492984 has 48 divisors (see below), whose sum is σ = 1375920. Its totient is φ = 159360.

The previous prime is 492979. The next prime is 493001. The reversal of 492984 is 489294.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2869 + ... + 3035.

It is an arithmetic number, because the mean of its divisors is an integer number (28665).

2⁴⁹²⁹⁸⁴ 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 492984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687960).

492984 is an abundant number, since it is smaller than the sum of its proper divisors (882936).

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

492984 is a wasteful number, since it uses less digits than its factorization.

492984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 213 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 492984 is about 702.1281934234. The cubic root of 492984 is about 78.9970623273.

The spelling of 492984 in words is "four hundred ninety-two thousand, nine hundred eighty-four".