480095406 has 96 divisors (see below), whose sum is σ = 1245404160. Its totient is φ = 130761792.

The previous prime is 480095393. The next prime is 480095423. The reversal of 480095406 is 604590084.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302491 + ... + 304073.

It is an arithmetic number, because the mean of its divisors is an integer number (12972960).

Almost surely, 2^480095406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480095406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622702080).

480095406 is an abundant number, since it is smaller than the sum of its proper divisors (765308754).

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

480095406 is a wasteful number, since it uses less digits than its factorization.

480095406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 480095406 is about 21911.0795261210. The cubic root of 480095406 is about 783.0254000558.

The spelling of 480095406 in words is "four hundred eighty million, ninety-five thousand, four hundred six".