417145725 has 72 divisors (see below), whose sum is σ = 767618280. Its totient is φ = 216483840.

The previous prime is 417145723. The next prime is 417145739. The reversal of 417145725 is 527541714.

It can be written as a sum of positive squares in 12 ways, for example, as 117094041 + 300051684 = 10821^2 + 17322^2 .

It is not a de Polignac number, because 417145725 - 2¹ = 417145723 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 417145725.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417145723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1790209 + ... + 1790441.

It is an arithmetic number, because the mean of its divisors is an integer number (10661365).

Almost surely, 2^417145725 is an apocalyptic number.

417145725 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

417145725 is a deficient number, since it is larger than the sum of its proper divisors (350472555).

417145725 is a wasteful number, since it uses less digits than its factorization.

417145725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 423 counting only the distinct ones).

The product of its digits is 39200, while the sum is 36.

The square root of 417145725 is about 20424.1456369661. The cubic root of 417145725 is about 747.1869286981.

The spelling of 417145725 in words is "four hundred seventeen million, one hundred forty-five thousand, seven hundred twenty-five".