468184816 has 120 divisors (see below), whose sum is σ = 1068681600. Its totient is φ = 198105600.

The previous prime is 468184807. The next prime is 468184837. The reversal of 468184816 is 618481864.

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, 1740330 + ... + 1740598.

It is an arithmetic number, because the mean of its divisors is an integer number (8905680).

Almost surely, 2^468184816 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 468184816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534340800).

468184816 is an abundant number, since it is smaller than the sum of its proper divisors (600496784).

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

468184816 is a wasteful number, since it uses less digits than its factorization.

468184816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 342 counting only the distinct ones).

The product of its digits is 294912, while the sum is 46.

The square root of 468184816 is about 21637.5787924620. The cubic root of 468184816 is about 776.4957950423.

It can be divided in two parts, 4681848 and 16, that added together give a palindrome (4681864).

The spelling of 468184816 in words is "four hundred sixty-eight million, one hundred eighty-four thousand, eight hundred sixteen".