481000481 has 16 divisors (see below), whose sum is σ = 537322128. Its totient is φ = 427680000.

The previous prime is 481000477. The next prime is 481000483. The reversal of 481000481 is 184000184.

It can be written as a sum of positive squares in 8 ways, for example, as 161163025 + 319837456 = 12695^2 + 17884^2 .

It is a cyclic number.

It is not a de Polignac number, because 481000481 - 2² = 481000477 is a prime.

It is a super-3 number, since 3×481000481³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 481000481.

It is not an unprimeable number, because it can be changed into a prime (481000483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43631 + ... + 53531.

It is an arithmetic number, because the mean of its divisors is an integer number (33582633).

Almost surely, 2^481000481 is an apocalyptic number.

It is an amenable number.

481000481 is a deficient number, since it is larger than the sum of its proper divisors (56321647).

481000481 is a wasteful number, since it uses less digits than its factorization.

481000481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10052.

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 481000481 is about 21931.7231653147. The cubic root of 481000481 is about 783.5171438678.

The spelling of 481000481 in words is "four hundred eighty-one million, four hundred eighty-one", and thus it is an aban number.