481711104 has 352 divisors, whose sum is σ = 1729305600. Its totient is φ = 129392640.

The previous prime is 481711081. The next prime is 481711151. The reversal of 481711104 is 401117184.

481711104 is a `hidden beast` number, since 481 + 71 + 110 + 4 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3677119 + ... + 3677249.

It is an arithmetic number, because the mean of its divisors is an integer number (4912800).

Almost surely, 2^481711104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481711104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864652800).

481711104 is an abundant number, since it is smaller than the sum of its proper divisors (1247594496).

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

481711104 is a wasteful number, since it uses less digits than its factorization.

481711104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 481711104 is about 21947.9179878183. The cubic root of 481711104 is about 783.9028062214.

Adding to 481711104 its reverse (401117184), we get a palindrome (882828288).

The spelling of 481711104 in words is "four hundred eighty-one million, seven hundred eleven thousand, one hundred four".