468563544 has 96 divisors (see below), whose sum is σ = 1338311520. Its totient is φ = 147806208.

The previous prime is 468563533. The next prime is 468563573. The reversal of 468563544 is 445365864.

468563544 is a `hidden beast` number, since 4 + 6 + 8 + 5 + 635 + 4 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 468563544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159174 + ... + 162090.

It is an arithmetic number, because the mean of its divisors is an integer number (13940745).

Almost surely, 2^468563544 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 468563544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669155760).

468563544 is an abundant number, since it is smaller than the sum of its proper divisors (869747976).

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

468563544 is a wasteful number, since it uses less digits than its factorization.

468563544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3049 (or 3042 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The square root of 468563544 is about 21646.3286494500. The cubic root of 468563544 is about 776.7051151144.

The spelling of 468563544 in words is "four hundred sixty-eight million, five hundred sixty-three thousand, five hundred forty-four".