488953 has 8 divisors (see below), whose sum is σ = 510048. Its totient is φ = 468384.

The previous prime is 488947. The next prime is 488959. The reversal of 488953 is 359884.

It is an interprime number because it is at equal distance from previous prime (488947) and next prime (488959).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 488953 - 2⁵ = 488921 is a prime.

It is a Duffinian number.

488953 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488959) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3501 + ... + 3637.

It is an arithmetic number, because the mean of its divisors is an integer number (63756).

2⁴⁸⁸⁹⁵³ is an apocalyptic number.

488953 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

488953 is a deficient number, since it is larger than the sum of its proper divisors (21095).

488953 is a wasteful number, since it uses less digits than its factorization.

488953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263.

The product of its digits is 34560, while the sum is 37.

The square root of 488953 is about 699.2517429367. The cubic root of 488953 is about 78.7811600884.

It can be divided in two parts, 488 and 953, that added together give a palindrome (1441).

The spelling of 488953 in words is "four hundred eighty-eight thousand, nine hundred fifty-three".