417749253 has 16 divisors (see below), whose sum is σ = 582046080. Its totient is φ = 266010624.

The previous prime is 417749251. The next prime is 417749261. The reversal of 417749253 is 352947714.

It is not a de Polignac number, because 417749253 - 2¹ = 417749251 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417749251) 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 15 ways as a sum of consecutive naturals, for example, 49125 + ... + 56997.

It is an arithmetic number, because the mean of its divisors is an integer number (36377880).

Almost surely, 2^417749253 is an apocalyptic number.

It is an amenable number.

417749253 is a deficient number, since it is larger than the sum of its proper divisors (164296827).

417749253 is a wasteful number, since it uses less digits than its factorization.

417749253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8668.

The product of its digits is 211680, while the sum is 42.

The square root of 417749253 is about 20438.9151620139. The cubic root of 417749253 is about 747.5470993391.

The spelling of 417749253 in words is "four hundred seventeen million, seven hundred forty-nine thousand, two hundred fifty-three".