481106241 has 48 divisors (see below), whose sum is σ = 884901888. Its totient is φ = 244591200.

The previous prime is 481106233. The next prime is 481106243. The reversal of 481106241 is 142601184.

It is a happy number.

It is not a de Polignac number, because 481106241 - 2³ = 481106233 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (481106243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25186 + ... + 39956.

It is an arithmetic number, because the mean of its divisors is an integer number (18435456).

Almost surely, 2^481106241 is an apocalyptic number.

It is an amenable number.

481106241 is a deficient number, since it is larger than the sum of its proper divisors (403795647).

481106241 is a wasteful number, since it uses less digits than its factorization.

481106241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14842 (or 14839 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 481106241 is about 21934.1341520471. The cubic root of 481106241 is about 783.5745649473.

The spelling of 481106241 in words is "four hundred eighty-one million, one hundred six thousand, two hundred forty-one".