472461257 has 2 divisors, whose sum is σ = 472461258. Its totient is φ = 472461256.

The previous prime is 472461221. The next prime is 472461259. The reversal of 472461257 is 752164274.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 315986176 + 156475081 = 17776^2 + 12509^2 .

It is a cyclic number.

It is not a de Polignac number, because 472461257 - 2¹⁴ = 472444873 is a prime.

Together with 472461259, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 472461257.

It is not a weakly prime, because it can be changed into another prime (472461259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 236230628 + 236230629.

It is an arithmetic number, because the mean of its divisors is an integer number (236230629).

Almost surely, 2^472461257 is an apocalyptic number.

It is an amenable number.

472461257 is a deficient number, since it is larger than the sum of its proper divisors (1).

472461257 is an equidigital number, since it uses as much as digits as its factorization.

472461257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 94080, while the sum is 38.

The square root of 472461257 is about 21736.1739273498. The cubic root of 472461257 is about 778.8528265689.

The spelling of 472461257 in words is "four hundred seventy-two million, four hundred sixty-one thousand, two hundred fifty-seven".