417055968 has 288 divisors, whose sum is σ = 1473728256. Its totient is φ = 109154304.

The previous prime is 417055943. The next prime is 417055973. The reversal of 417055968 is 869550714.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1473555 + ... + 1473837.

It is an arithmetic number, because the mean of its divisors is an integer number (5117112).

Almost surely, 2^417055968 is an apocalyptic number.

417055968 is a gapful number since it is divisible by the number (48) 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 417055968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736864128).

417055968 is an abundant number, since it is smaller than the sum of its proper divisors (1056672288).

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

417055968 is a wasteful number, since it uses less digits than its factorization.

417055968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 355 counting only the distinct ones).

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

The square root of 417055968 is about 20421.9481930593. The cubic root of 417055968 is about 747.1333342635.

The spelling of 417055968 in words is "four hundred seventeen million, fifty-five thousand, nine hundred sixty-eight".