417216960 has 224 divisors, whose sum is σ = 1507418880. Its totient is φ = 108573696.

The previous prime is 417216937. The next prime is 417217001. The reversal of 417216960 is 69612714.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 370959 + ... + 372081.

Almost surely, 2^417216960 is an apocalyptic number.

417216960 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 417216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753709440).

417216960 is an abundant number, since it is smaller than the sum of its proper divisors (1090201920).

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

417216960 is a wasteful number, since it uses less digits than its factorization.

417216960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 417216960 is about 20425.8894543175. The cubic root of 417216960 is about 747.2294580655.

The spelling of 417216960 in words is "four hundred seventeen million, two hundred sixteen thousand, nine hundred sixty".