480312270 has 96 divisors (see below), whose sum is σ = 1283143680. Its totient is φ = 124597440.

The previous prime is 480312269. The next prime is 480312293. The reversal of 480312270 is 72213084.

480312270 is a `hidden beast` number, since 4 + 80 + 312 + 270 = 666.

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, 1146121 + ... + 1146539.

It is an arithmetic number, because the mean of its divisors is an integer number (13366080).

Almost surely, 2^480312270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480312270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641571840).

480312270 is an abundant number, since it is smaller than the sum of its proper divisors (802831410).

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

480312270 is a wasteful number, since it uses less digits than its factorization.

480312270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 480312270 is about 21916.0276966425. The cubic root of 480312270 is about 783.1432824992.

The spelling of 480312270 in words is "four hundred eighty million, three hundred twelve thousand, two hundred seventy".