468181944 has 80 divisors (see below), whose sum is σ = 1321900800. Its totient is φ = 154804608.

The previous prime is 468181943. The next prime is 468181949. The reversal of 468181944 is 449181864.

468181944 is a `hidden beast` number, since 468 + 181 + 9 + 4 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 468181944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468181943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 79452 + ... + 85140.

It is an arithmetic number, because the mean of its divisors is an integer number (16523760).

Almost surely, 2^468181944 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 468181944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660950400).

468181944 is an abundant number, since it is smaller than the sum of its proper divisors (853718856).

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

468181944 is a wasteful number, since it uses less digits than its factorization.

468181944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5834 (or 5821 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 468181944 is about 21637.5124263396. The cubic root of 468181944 is about 776.4942072786.

The spelling of 468181944 in words is "four hundred sixty-eight million, one hundred eighty-one thousand, nine hundred forty-four".