480710488050 has 384 divisors, whose sum is σ = 1469783427840. Its totient is φ = 114773760000.

The previous prime is 480710488003. The next prime is 480710488081. The reversal of 480710488050 is 50884017084.

480710488050 is a `hidden beast` number, since 480 + 7 + 1 + 0 + 48 + 80 + 50 = 666.

It is a super-3 number, since 3×480710488050³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 480710487987 and 480710488005.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 130236705 + ... + 130240395.

It is an arithmetic number, because the mean of its divisors is an integer number (3827561010).

Almost surely, 2^480710488050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480710488050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734891713920).

480710488050 is an abundant number, since it is smaller than the sum of its proper divisors (989072939790).

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

480710488050 is a wasteful number, since it uses less digits than its factorization.

480710488050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3947 (or 3936 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 480710488050 in words is "four hundred eighty billion, seven hundred ten million, four hundred eighty-eight thousand, fifty".