488292 has 24 divisors (see below), whose sum is σ = 1302336. Its totient is φ = 139488.

The previous prime is 488287. The next prime is 488303. The reversal of 488292 is 292884.

It is an unprimeable number.

488292 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2823 + ... + 2990.

It is an arithmetic number, because the mean of its divisors is an integer number (54264).

2⁴⁸⁸²⁹² is an apocalyptic number.

488292 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

488292 is an abundant number, since it is smaller than the sum of its proper divisors (814044).

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

488292 is a wasteful number, since it uses less digits than its factorization.

488292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5827 (or 5825 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 488292 is about 698.7789350002. The cubic root of 488292 is about 78.7456434980.

It can be divided in two parts, 488 and 292, that added together give a triangular number (780 = T₃₉).

The spelling of 488292 in words is "four hundred eighty-eight thousand, two hundred ninety-two".