417968505 has 80 divisors (see below), whose sum is σ = 782267904. Its totient is φ = 214151040.

The previous prime is 417968491. The next prime is 417968513. The reversal of 417968505 is 505869714.

It is not a de Polignac number, because 417968505 - 2⁷ = 417968377 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3050797 + ... + 3050933.

Almost surely, 2^417968505 is an apocalyptic number.

417968505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

417968505 is a deficient number, since it is larger than the sum of its proper divisors (364299399).

417968505 is an frugal number, since it uses more digits than its factorization.

417968505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 417968505 is about 20444.2780503494. The cubic root of 417968505 is about 747.6778576267.

The spelling of 417968505 in words is "four hundred seventeen million, nine hundred sixty-eight thousand, five hundred five".