417940407 has 12 divisors (see below), whose sum is σ = 603874440. Its totient is φ = 278542608.

The previous prime is 417940399. The next prime is 417940421. The reversal of 417940407 is 704049714.

It is not a de Polignac number, because 417940407 - 2³ = 417940399 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417940447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43408 + ... + 52154.

It is an arithmetic number, because the mean of its divisors is an integer number (50322870).

Almost surely, 2^417940407 is an apocalyptic number.

417940407 is a deficient number, since it is larger than the sum of its proper divisors (185934033).

417940407 is a wasteful number, since it uses less digits than its factorization.

417940407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14062 (or 14059 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 417940407 is about 20443.5908538593. The cubic root of 417940407 is about 747.6611029965.

The spelling of 417940407 in words is "four hundred seventeen million, nine hundred forty thousand, four hundred seven".