480595541 has 2 divisors, whose sum is σ = 480595542. Its totient is φ = 480595540.

The previous prime is 480595523. The next prime is 480595543. The reversal of 480595541 is 145595084.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 283080625 + 197514916 = 16825^2 + 14054^2 .

It is a cyclic number.

It is not a de Polignac number, because 480595541 - 2¹⁴ = 480579157 is a prime.

It is a super-3 number, since 3×480595541³ (a number of 27 digits) contains 333 as substring.

Together with 480595543, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (480595543) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 240297770 + 240297771.

It is an arithmetic number, because the mean of its divisors is an integer number (240297771).

Almost surely, 2^480595541 is an apocalyptic number.

It is an amenable number.

480595541 is a deficient number, since it is larger than the sum of its proper divisors (1).

480595541 is an equidigital number, since it uses as much as digits as its factorization.

480595541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144000, while the sum is 41.

The square root of 480595541 is about 21922.4893887533. The cubic root of 480595541 is about 783.2972088768.

The spelling of 480595541 in words is "four hundred eighty million, five hundred ninety-five thousand, five hundred forty-one".