468184320 has 576 divisors, whose sum is σ = 1883750400. Its totient is φ = 109486080.

The previous prime is 468184319. The next prime is 468184363. The reversal of 468184320 is 23481864.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15102705 + ... + 15102735.

It is an arithmetic number, because the mean of its divisors is an integer number (3270400).

Almost surely, 2^468184320 is an apocalyptic number.

468184320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468184320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941875200).

468184320 is an abundant number, since it is smaller than the sum of its proper divisors (1415566080).

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

468184320 is a wasteful number, since it uses less digits than its factorization.

468184320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 468184320 is about 21637.5673309178. The cubic root of 468184320 is about 776.4955208328.

The spelling of 468184320 in words is "four hundred sixty-eight million, one hundred eighty-four thousand, three hundred twenty".