417425761 has 3 divisors (see below), whose sum is σ = 417446193. Its totient is φ = 417405330.

The previous prime is 417425747. The next prime is 417425773. The reversal of 417425761 is 167524714.

The square root of 417425761 is 20431.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 417425761 - 2¹³ = 417417569 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 417425761.

It is not an unprimeable number, because it can be changed into a prime (417425741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 10216 + ... + 30646.

It is an arithmetic number, because the mean of its divisors is an integer number (139148731).

Almost surely, 2^417425761 is an apocalyptic number.

417425761 is the 20431-st square number.

417425761 is the 10216-th centered octagonal number.

It is an amenable number.

417425761 is a deficient number, since it is larger than the sum of its proper divisors (20432).

417425761 is an frugal number, since it uses more digits than its factorization.

417425761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40862 (or 20431 counting only the distinct ones).

The product of its digits is 47040, while the sum is 37.

The cubic root of 417425761 is about 747.3540904531.

The spelling of 417425761 in words is "four hundred seventeen million, four hundred twenty-five thousand, seven hundred sixty-one".