480044277 has 48 divisors (see below), whose sum is σ = 733090176. Its totient is φ = 302400000.

The previous prime is 480044261. The next prime is 480044297. The reversal of 480044277 is 772440084.

It is not a de Polignac number, because 480044277 - 2⁴ = 480044261 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480044297) by changing a digit.

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, 1912402 + ... + 1912652.

It is an arithmetic number, because the mean of its divisors is an integer number (15272712).

Almost surely, 2^480044277 is an apocalyptic number.

It is an amenable number.

480044277 is a deficient number, since it is larger than the sum of its proper divisors (253045899).

480044277 is a wasteful number, since it uses less digits than its factorization.

480044277 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 480044277 is about 21909.9127565584. The cubic root of 480044277 is about 782.9976022984.

The spelling of 480044277 in words is "four hundred eighty million, forty-four thousand, two hundred seventy-seven".