481005791 has 16 divisors (see below), whose sum is σ = 554042880. Its totient is φ = 409065120.

The previous prime is 481005781. The next prime is 481005817. The reversal of 481005791 is 197500184.

It is a cyclic number.

It is not a de Polignac number, because 481005791 - 2¹⁰ = 481004767 is a prime.

It is a super-3 number, since 3×481005791³ (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481005731) 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, 695756 + ... + 696446.

It is an arithmetic number, because the mean of its divisors is an integer number (34627680).

Almost surely, 2^481005791 is an apocalyptic number.

481005791 is a deficient number, since it is larger than the sum of its proper divisors (73037089).

481005791 is a wasteful number, since it uses less digits than its factorization.

481005791 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334.

The product of its (nonzero) digits is 10080, while the sum is 35.

The square root of 481005791 is about 21931.8442224998. The cubic root of 481005791 is about 783.5200270671.

The spelling of 481005791 in words is "four hundred eighty-one million, five thousand, seven hundred ninety-one".