468813060 has 72 divisors (see below), whose sum is σ = 1445412696. Its totient is φ = 122964480.

The previous prime is 468813053. The next prime is 468813089. The reversal of 468813060 is 60318864.

It is a happy number.

468813060 is a `hidden beast` number, since 468 + 8 + 130 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15634116 + 453178944 = 3954^2 + 21288^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10369 + ... + 32328.

Almost surely, 2^468813060 is an apocalyptic number.

It is an amenable number.

468813060 is an abundant number, since it is smaller than the sum of its proper divisors (976599636).

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

468813060 is a wasteful number, since it uses less digits than its factorization.

468813060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42773 (or 42768 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 468813060 is about 21652.0913539547. The cubic root of 468813060 is about 776.8429590744.

The spelling of 468813060 in words is "four hundred sixty-eight million, eight hundred thirteen thousand, sixty".