417294953 has 4 divisors (see below), whose sum is σ = 417339348. Its totient is φ = 417250560.

The previous prime is 417294947. The next prime is 417294973. The reversal of 417294953 is 359492714.

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 can be written as a sum of positive squares in 2 ways, for example, as 331676944 + 85618009 = 18212^2 + 9253^2 .

It is a cyclic number.

It is not a de Polignac number, because 417294953 - 2⁸ = 417294697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (417294973) 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 3 ways as a sum of consecutive naturals, for example, 1928 + ... + 28953.

It is an arithmetic number, because the mean of its divisors is an integer number (104334837).

Almost surely, 2^417294953 is an apocalyptic number.

It is an amenable number.

417294953 is a deficient number, since it is larger than the sum of its proper divisors (44395).

417294953 is a wasteful number, since it uses less digits than its factorization.

417294953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44394.

The product of its digits is 272160, while the sum is 44.

The square root of 417294953 is about 20427.7985353293. The cubic root of 417294953 is about 747.2760166043.

The spelling of 417294953 in words is "four hundred seventeen million, two hundred ninety-four thousand, nine hundred fifty-three".