468117 has 12 divisors (see below), whose sum is σ = 728364. Its totient is φ = 288000.

The previous prime is 468113. The next prime is 468121. The reversal of 468117 is 711864.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (468113) and next prime (468121).

It can be written as a sum of positive squares in 2 ways, for example, as 40401 + 427716 = 201^2 + 654^2 .

It is not a de Polignac number, because 468117 - 2² = 468113 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 468117.

It is not an unprimeable number, because it can be changed into a prime (468113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1884 + ... + 2117.

It is an arithmetic number, because the mean of its divisors is an integer number (60697).

2⁴⁶⁸¹¹⁷ is an apocalyptic number.

It is an amenable number.

468117 is a deficient number, since it is larger than the sum of its proper divisors (260247).

468117 is a wasteful number, since it uses less digits than its factorization.

468117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4020 (or 4017 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 468117 is about 684.1907628725. The cubic root of 468117 is about 77.6458301742.

It can be divided in two parts, 468 and 117, that multiplied together give a square (54756 = 234²).

The spelling of 468117 in words is "four hundred sixty-eight thousand, one hundred seventeen".