480806208880 has 40 divisors (see below), whose sum is σ = 1129398932592. Its totient is φ = 190339774464.

The previous prime is 480806208877. The next prime is 480806208881. The reversal of 480806208880 is 88802608084.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×480806208880³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480806208881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30972022 + ... + 30987541.

Almost surely, 2^480806208880 is an apocalyptic number.

480806208880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480806208880 is an abundant number, since it is smaller than the sum of its proper divisors (648592723712).

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

480806208880 is a wasteful number, since it uses less digits than its factorization.

480806208880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61959673 (or 61959667 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 52.

The spelling of 480806208880 in words is "four hundred eighty billion, eight hundred six million, two hundred eight thousand, eight hundred eighty".