481540761 has 16 divisors (see below), whose sum is σ = 768270720. Its totient is φ = 296332560.

The previous prime is 481540757. The next prime is 481540781. The reversal of 481540761 is 167045184.

It is a happy number.

481540761 is a `hidden beast` number, since 48 + 1 + 540 + 76 + 1 = 666.

It is not a de Polignac number, because 481540761 - 2² = 481540757 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (481540721) 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, 685605 + ... + 686306.

It is an arithmetic number, because the mean of its divisors is an integer number (48016920).

Almost surely, 2^481540761 is an apocalyptic number.

It is an amenable number.

481540761 is a deficient number, since it is larger than the sum of its proper divisors (286729959).

481540761 is a wasteful number, since it uses less digits than its factorization.

481540761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371933 (or 1371927 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 481540761 is about 21944.0370260351. The cubic root of 481540761 is about 783.8103939175.

The spelling of 481540761 in words is "four hundred eighty-one million, five hundred forty thousand, seven hundred sixty-one".