480701891072 has 90 divisors (see below), whose sum is σ = 1040471490663. Its totient is φ = 221768282112.

The previous prime is 480701891071. The next prime is 480701891099. The reversal of 480701891072 is 270198107084.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 1195499776 + 479506391296 = 34576^2 + 692464^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=490256.

It is a super-3 number, since 3×480701891072³ (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (480701891071) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 203945318 + ... + 203947674.

Almost surely, 2^480701891072 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 480701891072

480701891072 is an abundant number, since it is smaller than the sum of its proper divisors (559769599591).

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

480701891072 is an frugal number, since it uses more digits than its factorization.

480701891072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4758 (or 2372 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 47.

The spelling of 480701891072 in words is "four hundred eighty billion, seven hundred one million, eight hundred ninety-one thousand, seventy-two".