480408892880 has 240 divisors, whose sum is σ = 1379000019600. Its totient is φ = 154655391744.

The previous prime is 480408892877. The next prime is 480408892883. The reversal of 480408892880 is 88298804084.

It is an interprime number because it is at equal distance from previous prime (480408892877) and next prime (480408892883).

It can be written as a sum of positive squares in 8 ways, for example, as 4648336 + 480404244544 = 2156^2 + 693112^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480408892883) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28846796 + ... + 28863444.

It is an arithmetic number, because the mean of its divisors is an integer number (5745833415).

Almost surely, 2^480408892880 is an apocalyptic number.

480408892880 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 480408892880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689500009800).

480408892880 is an abundant number, since it is smaller than the sum of its proper divisors (898591126720).

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

480408892880 is a wasteful number, since it uses less digits than its factorization.

480408892880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17126 (or 17113 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 59.

The spelling of 480408892880 in words is "four hundred eighty billion, four hundred eight million, eight hundred ninety-two thousand, eight hundred eighty".