465 has 8 divisors (see below), whose sum is σ = 768. Its totient is φ = 240.

The previous prime is 463. The next prime is 467. The reversal of 465 is 564.

Adding to 465 its product of digits (120), we get a palindrome (585).

Subtracting 465 from its reverse (564), we obtain a palindrome (99).

465 is nontrivially palindromic in base 11 and base 16.

465 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

465 is a nontrivial binomial coefficient, being equal to C(31, 2).

It is an interprime number because it is at equal distance from previous prime (463) and next prime (467).

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

It is not a de Polignac number, because 465 - 2^{1} = 463 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 31 = 465 / (4 + 6 + 5).

465 is an undulating number in base 11 and base 16.

It is a plaindrome in base 7, base 9 and base 13.

It is a nialpdrome in base 5, base 8 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461) 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 7 ways as a sum of consecutive naturals, for example, 1 + ... + 30.

It is an arithmetic number, because the mean of its divisors is an integer number (96).

465 is the 30-th triangular number.

It is an amenable number.

465 is a deficient number, since it is larger than the sum of its proper divisors (303).

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

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

The sum of its prime factors is 39.

The product of its digits is 120, while the sum is 15.

The square root of 465 is about 21.5638586528. The cubic root of 465 is about 7.7473108950.

The spelling of 465 in words is "four hundred sixty-five", and thus it is an aban number.

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