481768 has 24 divisors (see below), whose sum is σ = 1051650. Its totient is φ = 206304.

The previous prime is 481753. The next prime is 481769. The reversal of 481768 is 867184.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 268324 + 213444 = 518^2 + 462^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (481769) by changing a digit.

481768 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 5 ways as a sum of consecutive naturals, for example, 223 + ... + 1006.

2⁴⁸¹⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

481768 is an abundant number, since it is smaller than the sum of its proper divisors (569882).

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

481768 is a wasteful number, since it uses less digits than its factorization.

481768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1238 counting only the distinct ones).

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

The square root of 481768 is about 694.0950943495. The cubic root of 481768 is about 78.3933667857.

It can be divided in two parts, 48176 and 8, that added together give a palindrome (48184).

The spelling of 481768 in words is "four hundred eighty-one thousand, seven hundred sixty-eight".