480476826 has 64 divisors (see below), whose sum is σ = 1129420800. Its totient is φ = 150987888.

The previous prime is 480476819. The next prime is 480476837. The reversal of 480476826 is 628674084.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231871 + ... + 233933.

It is an arithmetic number, because the mean of its divisors is an integer number (17647200).

Almost surely, 2^480476826 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480476826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564710400).

480476826 is an abundant number, since it is smaller than the sum of its proper divisors (648943974).

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

480476826 is a wasteful number, since it uses less digits than its factorization.

480476826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320 (or 2314 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 480476826 is about 21919.7816138756. The cubic root of 480476826 is about 783.2327078027.

The spelling of 480476826 in words is "four hundred eighty million, four hundred seventy-six thousand, eight hundred twenty-six".