417971268 has 180 divisors, whose sum is σ = 1272101740. Its totient is φ = 114998400.

The previous prime is 417971263. The next prime is 417971273. The reversal of 417971268 is 862179714.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (417971263) and next prime (417971273).

It can be written as a sum of positive squares in 2 ways, for example, as 33732864 + 384238404 = 5808^2 + 19602^2 .

Its product of digits (169344) is a multiple of the sum of its prime factors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417971263) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6851958 + ... + 6852018.

Almost surely, 2^417971268 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 417971268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636050870).

417971268 is an abundant number, since it is smaller than the sum of its proper divisors (854130472).

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

417971268 is a wasteful number, since it uses less digits than its factorization.

417971268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 90 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 417971268 is about 20444.3456241573. The cubic root of 417971268 is about 747.6795051427.

The spelling of 417971268 in words is "four hundred seventeen million, nine hundred seventy-one thousand, two hundred sixty-eight".