480595657 has 2 divisors, whose sum is σ = 480595658. Its totient is φ = 480595656.

The previous prime is 480595613. The next prime is 480595699. The reversal of 480595657 is 756595084.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 407595721 + 72999936 = 20189^2 + 8544^2 .

It is a cyclic number.

It is not a de Polignac number, because 480595657 - 2¹¹ = 480593609 is a prime.

It is a super-3 number, since 3×480595657³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 480595657.

It is not a weakly prime, because it can be changed into another prime (480592657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 240297828 + 240297829.

It is an arithmetic number, because the mean of its divisors is an integer number (240297829).

Almost surely, 2^480595657 is an apocalyptic number.

It is an amenable number.

480595657 is a deficient number, since it is larger than the sum of its proper divisors (1).

480595657 is an equidigital number, since it uses as much as digits as its factorization.

480595657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512000, while the sum is 49.

The square root of 480595657 is about 21922.4920344381. The cubic root of 480595657 is about 783.2972718976.

The spelling of 480595657 in words is "four hundred eighty million, five hundred ninety-five thousand, six hundred fifty-seven".