481788468 has 72 divisors (see below), whose sum is σ = 1394632512. Its totient is φ = 137377152.

The previous prime is 481788457. The next prime is 481788473. The reversal of 481788468 is 864887184.

481788468 is a `hidden beast` number, since 4 + 8 + 178 + 8 + 468 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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, 146296 + ... + 149552.

It is an arithmetic number, because the mean of its divisors is an integer number (19369896).

Almost surely, 2^481788468 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 481788468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697316256).

481788468 is an abundant number, since it is smaller than the sum of its proper divisors (912844044).

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

481788468 is a wasteful number, since it uses less digits than its factorization.

481788468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3861 (or 3856 counting only the distinct ones).

The product of its digits is 2752512, while the sum is 54.

The square root of 481788468 is about 21949.6803621374. The cubic root of 481788468 is about 783.9447695544.

The spelling of 481788468 in words is "four hundred eighty-one million, seven hundred eighty-eight thousand, four hundred sixty-eight".