417149493 has 24 divisors (see below), whose sum is σ = 576638304. Its totient is φ = 268094400.

The previous prime is 417149483. The next prime is 417149531. The reversal of 417149493 is 394941714.

It is not a de Polignac number, because 417149493 - 2⁴ = 417149477 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417149443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1315771 + ... + 1316087.

It is an arithmetic number, because the mean of its divisors is an integer number (24026596).

Almost surely, 2^417149493 is an apocalyptic number.

417149493 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

417149493 is a deficient number, since it is larger than the sum of its proper divisors (159488811).

417149493 is a wasteful number, since it uses less digits than its factorization.

417149493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 464 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 417149493 is about 20424.2378805183. The cubic root of 417149493 is about 747.1891784250.

The spelling of 417149493 in words is "four hundred seventeen million, one hundred forty-nine thousand, four hundred ninety-three".