480282912 has 192 divisors, whose sum is σ = 1562198400. Its totient is φ = 142663680.

The previous prime is 480282899. The next prime is 480282917. The reversal of 480282912 is 219282084.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (480282917) 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, 278212 + ... + 279932.

It is an arithmetic number, because the mean of its divisors is an integer number (8136450).

Almost surely, 2^480282912 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 480282912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781099200).

480282912 is an abundant number, since it is smaller than the sum of its proper divisors (1081915488).

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

480282912 is a wasteful number, since it uses less digits than its factorization.

480282912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 480282912 is about 21915.3579026216. The cubic root of 480282912 is about 783.1273262207.

The spelling of 480282912 in words is "four hundred eighty million, two hundred eighty-two thousand, nine hundred twelve".