480260556 has 96 divisors (see below), whose sum is σ = 1305077760. Its totient is φ = 152539200.

The previous prime is 480260551. The next prime is 480260569. The reversal of 480260556 is 655062084.

480260556 is a `hidden beast` number, since 4 + 80 + 26 + 0 + 556 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 480260556.

It is not an unprimeable number, because it can be changed into a prime (480260551) 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, 223246 + ... + 225386.

It is an arithmetic number, because the mean of its divisors is an integer number (13594560).

Almost surely, 2^480260556 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 480260556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652538880).

480260556 is an abundant number, since it is smaller than the sum of its proper divisors (824817204).

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

480260556 is a wasteful number, since it uses less digits than its factorization.

480260556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2252 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 480260556 is about 21914.8478434143. The cubic root of 480260556 is about 783.1151751422.

The spelling of 480260556 in words is "four hundred eighty million, two hundred sixty thousand, five hundred fifty-six".