480809791 has 16 divisors (see below), whose sum is σ = 604961280. Its totient is φ = 371213280.

The previous prime is 480809729. The next prime is 480809803. The reversal of 480809791 is 197908084.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 480809791 - 2²⁷ = 346592063 is a prime.

It is a super-3 number, since 3×480809791³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480809711) 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, 20251 + ... + 37036.

It is an arithmetic number, because the mean of its divisors is an integer number (37810080).

Almost surely, 2^480809791 is an apocalyptic number.

480809791 is a deficient number, since it is larger than the sum of its proper divisors (124151489).

480809791 is a wasteful number, since it uses less digits than its factorization.

480809791 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57414.

The product of its (nonzero) digits is 145152, while the sum is 46.

The square root of 480809791 is about 21927.3753787361. The cubic root of 480809791 is about 783.4135898254.

The spelling of 480809791 in words is "four hundred eighty million, eight hundred nine thousand, seven hundred ninety-one".