417946560 has 224 divisors, whose sum is σ = 1386961920. Its totient is φ = 106549248.

The previous prime is 417946549. The next prime is 417946567. The reversal of 417946560 is 65649714.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417946567) 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, 2662002 + ... + 2662158.

Almost surely, 2^417946560 is an apocalyptic number.

417946560 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 417946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693480960).

417946560 is an abundant number, since it is smaller than the sum of its proper divisors (969015360).

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

417946560 is a wasteful number, since it uses less digits than its factorization.

417946560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 417946560 is about 20443.7413405668. The cubic root of 417946560 is about 747.6647720493.

The spelling of 417946560 in words is "four hundred seventeen million, nine hundred forty-six thousand, five hundred sixty".