417363968 has 72 divisors (see below), whose sum is σ = 971006400. Its totient is φ = 178827264.

The previous prime is 417363967. The next prime is 417363979. The reversal of 417363968 is 869363714.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417363967) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 98273 + ... + 102431.

It is an arithmetic number, because the mean of its divisors is an integer number (13486200).

Almost surely, 2^417363968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 417363968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485503200).

417363968 is an abundant number, since it is smaller than the sum of its proper divisors (553642432).

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

417363968 is an equidigital number, since it uses as much as digits as its factorization.

417363968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4195 (or 4168 counting only the distinct ones).

The product of its digits is 653184, while the sum is 47.

The square root of 417363968 is about 20429.4877077229. The cubic root of 417363968 is about 747.3172108172.

The spelling of 417363968 in words is "four hundred seventeen million, three hundred sixty-three thousand, nine hundred sixty-eight".