468063585 has 48 divisors (see below), whose sum is σ = 906691968. Its totient is φ = 221395200.

The previous prime is 468063581. The next prime is 468063599. The reversal of 468063585 is 585360864.

468063585 is a `hidden beast` number, since 4 + 6 + 8 + 0 + 63 + 585 = 666.

It is not a de Polignac number, because 468063585 - 2² = 468063581 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 468063585.

It is not an unprimeable number, because it can be changed into a prime (468063581) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8764 + ... + 31826.

It is an arithmetic number, because the mean of its divisors is an integer number (18889416).

Almost surely, 2^468063585 is an apocalyptic number.

468063585 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

468063585 is a deficient number, since it is larger than the sum of its proper divisors (438628383).

468063585 is a wasteful number, since it uses less digits than its factorization.

468063585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23126 (or 23123 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 468063585 is about 21634.7772117025. Note that the first 3 decimals coincide. The cubic root of 468063585 is about 776.4287677454.

It can be divided in two parts, 4680 and 63585, that added together give a triangular number (68265 = T₃₆₉).

The spelling of 468063585 in words is "four hundred sixty-eight million, sixty-three thousand, five hundred eighty-five".