415257493 has 32 divisors (see below), whose sum is σ = 506068992. Its totient is φ = 333244800.

The previous prime is 415257421. The next prime is 415257497. The reversal of 415257493 is 394752514.

It is a happy number.

It is not a de Polignac number, because 415257493 - 2¹³ = 415249301 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415257497) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1782105 + ... + 1782337.

It is an arithmetic number, because the mean of its divisors is an integer number (15814656).

Almost surely, 2^415257493 is an apocalyptic number.

415257493 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

415257493 is a deficient number, since it is larger than the sum of its proper divisors (90811499).

415257493 is a wasteful number, since it uses less digits than its factorization.

415257493 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505.

The product of its digits is 151200, while the sum is 40.

The square root of 415257493 is about 20377.8677245682. The cubic root of 415257493 is about 746.0578297331.

The spelling of 415257493 in words is "four hundred fifteen million, two hundred fifty-seven thousand, four hundred ninety-three".