480368928 has 192 divisors, whose sum is σ = 1422150912. Its totient is φ = 141004800.

The previous prime is 480368921. The next prime is 480368947. The reversal of 480368928 is 829863084.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (480368921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4663725 + ... + 4663827.

It is an arithmetic number, because the mean of its divisors is an integer number (7407036).

Almost surely, 2^480368928 is an apocalyptic number.

480368928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480368928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711075456).

480368928 is an abundant number, since it is smaller than the sum of its proper divisors (941781984).

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

480368928 is a wasteful number, since it uses less digits than its factorization.

480368928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 480368928 is about 21917.3202741576. The cubic root of 480368928 is about 783.1740746805.

The spelling of 480368928 in words is "four hundred eighty million, three hundred sixty-eight thousand, nine hundred twenty-eight".