480176064 has 84 divisors (see below), whose sum is σ = 1405701024. Its totient is φ = 156644352.

The previous prime is 480176063. The next prime is 480176071. The reversal of 480176064 is 460671084.

480176064 is a `hidden beast` number, since 48 + 0 + 1 + 7 + 606 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480176063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18204 + ... + 35940.

It is an arithmetic number, because the mean of its divisors is an integer number (16734536).

Almost surely, 2^480176064 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 480176064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702850512).

480176064 is an abundant number, since it is smaller than the sum of its proper divisors (925524960).

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

480176064 is a wasteful number, since it uses less digits than its factorization.

480176064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17802 (or 17789 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 480176064 is about 21912.9200244970. The cubic root of 480176064 is about 783.0692480948.

The spelling of 480176064 in words is "four hundred eighty million, one hundred seventy-six thousand, sixty-four".