417341952 has 180 divisors, whose sum is σ = 1260665406. Its totient is φ = 132833280.

The previous prime is 417341921. The next prime is 417341957. The reversal of 417341952 is 259143714.

It can be written as a sum of positive squares in only one way, i.e., 412252416 + 5089536 = 20304^2 + 2256^2 .

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

It is not an unprimeable number, because it can be changed into a prime (417341957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8879593 + ... + 8879639.

Almost surely, 2^417341952 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 417341952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630332703).

417341952 is an abundant number, since it is smaller than the sum of its proper divisors (843323454).

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

417341952 is an equidigital number, since it uses as much as digits as its factorization.

417341952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 93 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 417341952 is about 20428.9488716380. The cubic root of 417341952 is about 747.3040702282.

The spelling of 417341952 in words is "four hundred seventeen million, three hundred forty-one thousand, nine hundred fifty-two".