468543744 has 144 divisors (see below), whose sum is σ = 1412812800. Its totient is φ = 153114624.

The previous prime is 468543737. The next prime is 468543773. The reversal of 468543744 is 447345864.

468543744 is a `hidden beast` number, since 4 + 68 + 543 + 7 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 468543744.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365697 + ... + 366975.

It is an arithmetic number, because the mean of its divisors is an integer number (9811200).

Almost surely, 2^468543744 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 468543744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706406400).

468543744 is an abundant number, since it is smaller than the sum of its proper divisors (944269056).

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

468543744 is a wasteful number, since it uses less digits than its factorization.

468543744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1337 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The square root of 468543744 is about 21645.8712922349. The cubic root of 468543744 is about 776.6941746005.

The spelling of 468543744 in words is "four hundred sixty-eight million, five hundred forty-three thousand, seven hundred forty-four".