492960 has 96 divisors (see below), whose sum is σ = 1693440. Its totient is φ = 119808.

The previous prime is 492911. The next prime is 492967. The reversal of 492960 is 69294.

492960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492967) by changing a digit.

492960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6201 + ... + 6279.

It is an arithmetic number, because the mean of its divisors is an integer number (17640).

2⁴⁹²⁹⁶⁰ is an apocalyptic number.

492960 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 492960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846720).

492960 is an abundant number, since it is smaller than the sum of its proper divisors (1200480).

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

492960 is a wasteful number, since it uses less digits than its factorization.

492960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 492960 is about 702.1111023193. Note that the first 4 decimals coincide. The cubic root of 492960 is about 78.9957803653.

The spelling of 492960 in words is "four hundred ninety-two thousand, nine hundred sixty".