480946011 has 32 divisors (see below), whose sum is σ = 791239680. Its totient is φ = 253044864.

The previous prime is 480946003. The next prime is 480946117. The reversal of 480946011 is 110649084.

It is not a de Polignac number, because 480946011 - 2³ = 480946003 is a prime.

It is a super-3 number, since 3×480946011³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (480946001) 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 31 ways as a sum of consecutive naturals, for example, 117841 + ... + 121853.

It is an arithmetic number, because the mean of its divisors is an integer number (24726240).

Almost surely, 2^480946011 is an apocalyptic number.

480946011 is a deficient number, since it is larger than the sum of its proper divisors (310293669).

480946011 is a wasteful number, since it uses less digits than its factorization.

480946011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4475.

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 480946011 is about 21930.4813216673. The cubic root of 480946011 is about 783.4875667734.

The spelling of 480946011 in words is "four hundred eighty million, nine hundred forty-six thousand, eleven".