480475440 has 120 divisors (see below), whose sum is σ = 1625708448. Its totient is φ = 127165440.

The previous prime is 480475423. The next prime is 480475447. The reversal of 480475440 is 44574084.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 480475395 and 480475404.

It is not an unprimeable number, because it can be changed into a prime (480475447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96205 + ... + 101075.

Almost surely, 2^480475440 is an apocalyptic number.

480475440 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 480475440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812854224).

480475440 is an abundant number, since it is smaller than the sum of its proper divisors (1145233008).

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

480475440 is a wasteful number, since it uses less digits than its factorization.

480475440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5027 (or 5018 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 480475440 is about 21919.7499985743. The cubic root of 480475440 is about 783.2319546886.

The spelling of 480475440 in words is "four hundred eighty million, four hundred seventy-five thousand, four hundred forty".