480710220480 has 1344 divisors, whose sum is σ = 2104091458560. Its totient is φ = 102013157376.

The previous prime is 480710220383. The next prime is 480710220503. The reversal of 480710220480 is 84022017084.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×480710220480³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 548129802 + ... + 548130678.

It is an arithmetic number, because the mean of its divisors is an integer number (1565544240).

Almost surely, 2^480710220480 is an apocalyptic number.

480710220480 is a gapful number since it is divisible by the number (40) 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 480710220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052045729280).

480710220480 is an abundant number, since it is smaller than the sum of its proper divisors (1623381238080).

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

480710220480 is a wasteful number, since it uses less digits than its factorization.

480710220480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 480710220480 in words is "four hundred eighty billion, seven hundred ten million, two hundred twenty thousand, four hundred eighty".