480844532080 has 40 divisors (see below), whose sum is σ = 1219596588144. Its totient is φ = 174852556800.

The previous prime is 480844532071. The next prime is 480844532081. The reversal of 480844532080 is 80235448084.

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

It is a super-3 number, since 3×480844532080³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 480844532080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480844532081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 273206241 + ... + 273208000.

Almost surely, 2^480844532080 is an apocalyptic number.

480844532080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480844532080 is an abundant number, since it is smaller than the sum of its proper divisors (738752056064).

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

480844532080 is a wasteful number, since it uses less digits than its factorization.

480844532080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546414265 (or 546414259 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 46.

The spelling of 480844532080 in words is "four hundred eighty billion, eight hundred forty-four million, five hundred thirty-two thousand, eighty".