481 has 4 divisors (see below), whose sum is σ = 532. Its totient is φ = 432.

The previous prime is 479. The next prime is 487. The reversal of 481 is 184.

Adding to 481 its sum of digits (13), we get a palindrome (494).

It can be divided in two parts, 48 and 1, that added together give a square (49 = 7^{2}).

481 is nontrivially palindromic in base 16.

481 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 256 + 225 = 16^2 + 15^2 .

It is a 3-Lehmer number, since φ(481) divides (481-1)^{3}.

It is a cyclic number.

It is not a de Polignac number, because 481 - 2^{1} = 479 is a prime.

It is a super-3 number, since 3×481^{3} = 333853923, which contains 333 as substring. Note that it is a super-*d* number also for *d* = 2.

It is a Harshad number since it is a multiple of its sum of digits (13), and also a Moran number because the ratio is a prime number: 37 = 481 / (4 + 8 + 1).

It is a deceptive number, since it divides R_{480}.

It is a Duffinian number.

481 is an undulating number in base 6 and base 16.

It is a plaindrome in base 7.

It is a nialpdrome in base 8 and base 15.

It is a panconsummate number.

It is not an unprimeable number, because it can be changed into a prime (487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6 + ... + 31.

It is an arithmetic number, because the mean of its divisors is an integer number (133).

It is a Proth number, since it is equal to 15 ⋅ 2^{5} + 1 and 15 < 2^{5}.

481 is the 13-th octagonal number.

481 is the 16-th centered square number.

It is an amenable number.

481 is a deficient number, since it is larger than the sum of its proper divisors (51).

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

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

The sum of its prime factors is 50.

The product of its digits is 32, while the sum is 13.

The square root of 481 is about 21.9317121995. The cubic root of 481 is about 7.8351688270.

The spelling of 481 in words is "four hundred eighty-one", and thus it is an aban number.

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