417947560 has 128 divisors (see below), whose sum is σ = 1034208000. Its totient is φ = 151455744.

The previous prime is 417947521. The next prime is 417947581. The reversal of 417947560 is 65749714.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2502597 + ... + 2502763.

It is an arithmetic number, because the mean of its divisors is an integer number (8079750).

Almost surely, 2^417947560 is an apocalyptic number.

417947560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 417947560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517104000).

417947560 is an abundant number, since it is smaller than the sum of its proper divisors (616260440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

417947560 is a wasteful number, since it uses less digits than its factorization.

417947560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 43.

The square root of 417947560 is about 20443.7657979150. The cubic root of 417947560 is about 747.6653683489.

The spelling of 417947560 in words is "four hundred seventeen million, nine hundred forty-seven thousand, five hundred sixty".