480084408040 has 64 divisors (see below), whose sum is σ = 1118001139200. Its totient is φ = 185318445312.

The previous prime is 480084408019. The next prime is 480084408047. The reversal of 480084408040 is 40804480084.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 480084407984 and 480084408002.

It is not an unprimeable number, because it can be changed into a prime (480084408047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2220169 + ... + 2426791.

It is an arithmetic number, because the mean of its divisors is an integer number (17468767800).

Almost surely, 2^480084408040 is an apocalyptic number.

480084408040 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 480084408040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559000569600).

480084408040 is an abundant number, since it is smaller than the sum of its proper divisors (637916731160).

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

480084408040 is a wasteful number, since it uses less digits than its factorization.

480084408040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208666 (or 208662 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The spelling of 480084408040 in words is "four hundred eighty billion, eighty-four million, four hundred eight thousand, forty".