480898176 has 256 divisors, whose sum is σ = 1523733120. Its totient is φ = 132710400.

The previous prime is 480898153. The next prime is 480898177. The reversal of 480898176 is 671898084.

It is a super-3 number, since 3×480898176³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (480898177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2656806 + ... + 2656986.

Almost surely, 2^480898176 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 480898176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761866560).

480898176 is an abundant number, since it is smaller than the sum of its proper divisors (1042834944).

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

480898176 is a wasteful number, since it uses less digits than its factorization.

480898176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The square root of 480898176 is about 21929.3906892098. The cubic root of 480898176 is about 783.4615906281.

It can be divided in two parts, 48089 and 8176, that added together give a palindrome (56265).

The spelling of 480898176 in words is "four hundred eighty million, eight hundred ninety-eight thousand, one hundred seventy-six".