480404400440 has 64 divisors (see below), whose sum is σ = 1094860195200. Its totient is φ = 189682900992.

The previous prime is 480404400419. The next prime is 480404400461. The reversal of 480404400440 is 44004404084.

It is an interprime number because it is at equal distance from previous prime (480404400419) and next prime (480404400461).

It is a junction number, because it is equal to n+sod(n) for n = 480404400397 and 480404400406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14750414 + ... + 14782946.

It is an arithmetic number, because the mean of its divisors is an integer number (17107190550).

Almost surely, 2^480404400440 is an apocalyptic number.

480404400440 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 480404400440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547430097600).

480404400440 is an abundant number, since it is smaller than the sum of its proper divisors (614455794760).

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

480404400440 is a wasteful number, since it uses less digits than its factorization.

480404400440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37296 (or 37292 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

The spelling of 480404400440 in words is "four hundred eighty billion, four hundred four million, four hundred thousand, four hundred forty".