417125377 has 2 divisors, whose sum is σ = 417125378. Its totient is φ = 417125376.

The previous prime is 417125363. The next prime is 417125389. The reversal of 417125377 is 773521714.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 219750976 + 197374401 = 14824^2 + 14049^2 .

It is a cyclic number.

It is not a de Polignac number, because 417125377 - 2¹⁵ = 417092609 is a prime.

It is not a weakly prime, because it can be changed into another prime (417125347) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208562688 + 208562689.

It is an arithmetic number, because the mean of its divisors is an integer number (208562689).

Almost surely, 2^417125377 is an apocalyptic number.

It is an amenable number.

417125377 is a deficient number, since it is larger than the sum of its proper divisors (1).

417125377 is an equidigital number, since it uses as much as digits as its factorization.

417125377 is an evil number, because the sum of its binary digits is even.

The product of its digits is 41160, while the sum is 37.

The square root of 417125377 is about 20423.6474949995. The cubic root of 417125377 is about 747.1747794611.

It can be divided in two parts, 41712 and 5377, that added together give a square (47089 = 217²).

The spelling of 417125377 in words is "four hundred seventeen million, one hundred twenty-five thousand, three hundred seventy-seven".