417332960 has 96 divisors (see below), whose sum is σ = 1094083200. Its totient is φ = 149148160.

The previous prime is 417332947. The next prime is 417332963. The reversal of 417332960 is 69233714.

It is a self number, because there is not a number n which added to its sum of digits gives 417332960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417332963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101831 + ... + 105849.

It is an arithmetic number, because the mean of its divisors is an integer number (11396700).

Almost surely, 2^417332960 is an apocalyptic number.

417332960 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 417332960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547041600).

417332960 is an abundant number, since it is smaller than the sum of its proper divisors (676750240).

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

417332960 is a wasteful number, since it uses less digits than its factorization.

417332960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4104 (or 4096 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 417332960 is about 20428.7287906027. The cubic root of 417332960 is about 747.2987030815.

The spelling of 417332960 in words is "four hundred seventeen million, three hundred thirty-two thousand, nine hundred sixty".