492048 has 80 divisors (see below), whose sum is σ = 1517760. Its totient is φ = 152064.

The previous prime is 492047. The next prime is 492053. The reversal of 492048 is 840294.

It is a super-2 number, since 2×492048² = 484222468608, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (492047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7311 + ... + 7377.

It is an arithmetic number, because the mean of its divisors is an integer number (18972).

2⁴⁹²⁰⁴⁸ is an apocalyptic number.

492048 is a gapful number since it is divisible by the number (48) 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 492048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758880).

492048 is an abundant number, since it is smaller than the sum of its proper divisors (1025712).

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

492048 is a wasteful number, since it uses less digits than its factorization.

492048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 89 counting only the distinct ones).

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

The square root of 492048 is about 701.4613317924. The cubic root of 492048 is about 78.9470349460.

The spelling of 492048 in words is "four hundred ninety-two thousand, forty-eight".