480413248 has 84 divisors (see below), whose sum is σ = 1114806000. Its totient is φ = 204809472.

The previous prime is 480413239. The next prime is 480413317. The reversal of 480413248 is 842314084.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 962503 + ... + 963001.

It is an arithmetic number, because the mean of its divisors is an integer number (13271500).

Almost surely, 2^480413248 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 480413248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557403000).

480413248 is an abundant number, since it is smaller than the sum of its proper divisors (634392752).

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

480413248 is a wasteful number, since it uses less digits than its factorization.

480413248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 480413248 is about 21918.3313233467. The cubic root of 480413248 is about 783.1981597850.

The spelling of 480413248 in words is "four hundred eighty million, four hundred thirteen thousand, two hundred forty-eight".