488392 has 16 divisors (see below), whose sum is σ = 938700. Its totient is φ = 238080.

The previous prime is 488381. The next prime is 488399. The reversal of 488392 is 293884.

It can be written as a sum of positive squares in 2 ways, for example, as 401956 + 86436 = 634^2 + 294^2 .

Its product of digits (13824) is a multiple of the sum of its prime factors (1536).

It is not an unprimeable number, because it can be changed into a prime (488399) by changing a digit.

488392 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 3 ways as a sum of consecutive naturals, for example, 417 + ... + 1072.

2⁴⁸⁸³⁹² is an apocalyptic number.

It is an amenable number.

488392 is a deficient number, since it is larger than the sum of its proper divisors (450308).

488392 is a wasteful number, since it uses less digits than its factorization.

488392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1532 counting only the distinct ones).

The product of its digits is 13824, while the sum is 34.

The square root of 488392 is about 698.8504847247. The cubic root of 488392 is about 78.7510187153.

It can be divided in two parts, 48839 and 2, that added together give a square (48841 = 221²).

The spelling of 488392 in words is "four hundred eighty-eight thousand, three hundred ninety-two".