481110480 has 60 divisors (see below), whose sum is σ = 1615731780. Its totient is φ = 128295936.

The previous prime is 481110479. The next prime is 481110491. The reversal of 481110480 is 84011184.

481110480 is a `hidden beast` number, since 481 + 1 + 104 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 259338816 + 221771664 = 16104^2 + 14892^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 333385 + ... + 334824.

It is an arithmetic number, because the mean of its divisors is an integer number (26928863).

Almost surely, 2^481110480 is an apocalyptic number.

481110480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

481110480 is an abundant number, since it is smaller than the sum of its proper divisors (1134621300).

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

481110480 is a wasteful number, since it uses less digits than its factorization.

481110480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668228 (or 668219 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 481110480 is about 21934.2307820448. The cubic root of 481110480 is about 783.5768662844.

It can be divided in two parts, 4811104 and 80, that added together give a palindrome (4811184).

The spelling of 481110480 in words is "four hundred eighty-one million, one hundred ten thousand, four hundred eighty".