480249328 has 60 divisors (see below), whose sum is σ = 1018507728. Its totient is φ = 219248640.

The previous prime is 480249323. The next prime is 480249331. The reversal of 480249328 is 823942084.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480249323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 261373 + ... + 263203.

Almost surely, 2^480249328 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 480249328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509253864).

480249328 is an abundant number, since it is smaller than the sum of its proper divisors (538258400).

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

480249328 is a wasteful number, since it uses less digits than its factorization.

480249328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 480249328 is about 21914.5916685664. The cubic root of 480249328 is about 783.1090722843.

The spelling of 480249328 in words is "four hundred eighty million, two hundred forty-nine thousand, three hundred twenty-eight".