481288 has 8 divisors (see below), whose sum is σ = 902430. Its totient is φ = 240640.

The previous prime is 481249. The next prime is 481297. The reversal of 481288 is 882184.

It can be written as a sum of positive squares in only one way, i.e., 289444 + 191844 = 538^2 + 438^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

481288 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 (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30073 + ... + 30088.

2⁴⁸¹²⁸⁸ is an apocalyptic number.

It is an amenable number.

481288 is a deficient number, since it is larger than the sum of its proper divisors (421142).

481288 is a wasteful number, since it uses less digits than its factorization.

481288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60167 (or 60163 counting only the distinct ones).

The product of its digits is 4096, while the sum is 31.

The square root of 481288 is about 693.7492342338. The cubic root of 481288 is about 78.3673229085.

It can be divided in two parts, 4812 and 88, that added together give a square (4900 = 70²).

The spelling of 481288 in words is "four hundred eighty-one thousand, two hundred eighty-eight".