480028860 has 144 divisors (see below), whose sum is σ = 1552352256. Its totient is φ = 119788416.

The previous prime is 480028853. The next prime is 480028877. The reversal of 480028860 is 68820084.

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

480028860 is a modest number, since divided by 28860 gives 480 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193347 + ... + 195813.

It is an arithmetic number, because the mean of its divisors is an integer number (10780224).

Almost surely, 2^480028860 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 480028860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776176128).

480028860 is an abundant number, since it is smaller than the sum of its proper divisors (1072323396).

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

480028860 is a wasteful number, since it uses less digits than its factorization.

480028860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2552 (or 2547 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 480028860 is about 21909.5609266822. The cubic root of 480028860 is about 782.9892200137.

The spelling of 480028860 in words is "four hundred eighty million, twenty-eight thousand, eight hundred sixty".