480109170240 has 896 divisors, whose sum is σ = 2008258437120. Its totient is φ = 105685917696.

The previous prime is 480109170223. The next prime is 480109170253. The reversal of 480109170240 is 42071901084.

480109170240 is a `hidden beast` number, since 480 + 1 + 0 + 9 + 170 + 2 + 4 + 0 = 666.

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 = 480109170195 and 480109170204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 230488239 + ... + 230490321.

Almost surely, 2^480109170240 is an apocalyptic number.

480109170240 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 480109170240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004129218560).

480109170240 is an abundant number, since it is smaller than the sum of its proper divisors (1528149266880).

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

480109170240 is a wasteful number, since it uses less digits than its factorization.

480109170240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256 (or 2240 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 480109170240 in words is "four hundred eighty billion, one hundred nine million, one hundred seventy thousand, two hundred forty".