417271680 has 384 divisors, whose sum is σ = 1680307200. Its totient is φ = 93450240.

The previous prime is 417271661. The next prime is 417271693. The reversal of 417271680 is 86172714.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 3185215 + ... + 3185345.

It is an arithmetic number, because the mean of its divisors is an integer number (4375800).

Almost surely, 2^417271680 is an apocalyptic number.

417271680 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 417271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840153600).

417271680 is an abundant number, since it is smaller than the sum of its proper divisors (1263035520).

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

417271680 is a wasteful number, since it uses less digits than its factorization.

417271680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 417271680 is about 20427.2288869538. The cubic root of 417271680 is about 747.2621242100.

The spelling of 417271680 in words is "four hundred seventeen million, two hundred seventy-one thousand, six hundred eighty".