488761 has 16 divisors (see below), whose sum is σ = 620928. Its totient is φ = 374400.

The previous prime is 488759. The next prime is 488779. The reversal of 488761 is 167884.

It is a happy number.

It is not a de Polignac number, because 488761 - 2¹ = 488759 is a prime.

Its product of digits (10752) is a multiple of the sum of its prime divisors (192).

It is not an unprimeable number, because it can be changed into a prime (488701) 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, 3666 + ... + 3796.

It is an arithmetic number, because the mean of its divisors is an integer number (38808).

2⁴⁸⁸⁷⁶¹ is an apocalyptic number.

488761 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

488761 is a deficient number, since it is larger than the sum of its proper divisors (132167).

488761 is a wasteful number, since it uses less digits than its factorization.

488761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192.

The product of its digits is 10752, while the sum is 34.

The square root of 488761 is about 699.1144398452. The cubic root of 488761 is about 78.7708469206.

The spelling of 488761 in words is "four hundred eighty-eight thousand, seven hundred sixty-one".