480778188 has 48 divisors (see below), whose sum is σ = 1229362176. Its totient is φ = 145028160.

The previous prime is 480778169. The next prime is 480778189. The reversal of 480778188 is 881877084.

It is a super-3 number, since 3×480778188³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 480778188.

It is not an unprimeable number, because it can be changed into a prime (480778189) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21270 + ... + 37602.

It is an arithmetic number, because the mean of its divisors is an integer number (25611712).

Almost surely, 2^480778188 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 480778188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614681088).

480778188 is an abundant number, since it is smaller than the sum of its proper divisors (748583988).

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

480778188 is a wasteful number, since it uses less digits than its factorization.

480778188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16574 (or 16572 counting only the distinct ones).

The product of its (nonzero) digits is 802816, while the sum is 51.

The square root of 480778188 is about 21926.6547380124. The cubic root of 480778188 is about 783.3964251984.

It can be divided in two parts, 48077 and 8188, that added together give a palindrome (56265).

The spelling of 480778188 in words is "four hundred eighty million, seven hundred seventy-eight thousand, one hundred eighty-eight".