468756 has 36 divisors (see below), whose sum is σ = 1228500. Its totient is φ = 150528.

The previous prime is 468739. The next prime is 468761. The reversal of 468756 is 657864.

It is a happy number.

468756 is nontrivially palindromic in base 5.

It can be written as a sum of positive squares in 2 ways, for example, as 266256 + 202500 = 516^2 + 450^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 468756.

It is a congruent number.

It is an unprimeable number.

468756 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 820 + ... + 1268.

It is an arithmetic number, because the mean of its divisors is an integer number (34125).

468756 is a Friedman number, since it can be written as 6+5^7*(8-6+4), using all its digits and the basic arithmetic operations.

2⁴⁶⁸⁷⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614250).

468756 is an abundant number, since it is smaller than the sum of its proper divisors (759744).

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

468756 is a wasteful number, since it uses less digits than its factorization.

468756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 483 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 468756 is about 684.6575786479. The cubic root of 468756 is about 77.6811440856.

The spelling of 468756 in words is "four hundred sixty-eight thousand, seven hundred fifty-six".