480444051 has 16 divisors (see below), whose sum is σ = 674928000. Its totient is φ = 303159168.

The previous prime is 480444049. The next prime is 480444059. The reversal of 480444051 is 150444084.

It is not a de Polignac number, because 480444051 - 2¹ = 480444049 is a prime.

It is a super-2 number, since 2×480444051² = 461652972282581202, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (480444059) 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 15 ways as a sum of consecutive naturals, for example, 71275 + ... + 77723.

It is an arithmetic number, because the mean of its divisors is an integer number (42183000).

Almost surely, 2^480444051 is an apocalyptic number.

480444051 is a deficient number, since it is larger than the sum of its proper divisors (194483949).

480444051 is a wasteful number, since it uses less digits than its factorization.

480444051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7778.

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 480444051 is about 21919.0339887505. The cubic root of 480444051 is about 783.2148983862.

The spelling of 480444051 in words is "four hundred eighty million, four hundred forty-four thousand, fifty-one".