480385728 has 336 divisors, whose sum is σ = 1597639680. Its totient is φ = 142331904.

The previous prime is 480385709. The next prime is 480385733. The reversal of 480385728 is 827583084.

480385728 is a `hidden beast` number, since 48 + 0 + 38 + 572 + 8 = 666.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6080793 + ... + 6080871.

It is an arithmetic number, because the mean of its divisors is an integer number (4754880).

Almost surely, 2^480385728 is an apocalyptic number.

480385728 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 480385728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798819840).

480385728 is an abundant number, since it is smaller than the sum of its proper divisors (1117253952).

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

480385728 is a wasteful number, since it uses less digits than its factorization.

480385728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 480385728 is about 21917.7035293390. The cubic root of 480385728 is about 783.1832045876.

The spelling of 480385728 in words is "four hundred eighty million, three hundred eighty-five thousand, seven hundred twenty-eight".