417966648 has 64 divisors (see below), whose sum is σ = 1146337920. Its totient is φ = 125942400.

The previous prime is 417966581. The next prime is 417966667. The reversal of 417966648 is 846669714.

It is a super-2 number, since 2×417966648² = 349392237680711808, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 417966648.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43411 + ... + 52157.

It is an arithmetic number, because the mean of its divisors is an integer number (17911530).

Almost surely, 2^417966648 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 417966648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573168960).

417966648 is an abundant number, since it is smaller than the sum of its proper divisors (728371272).

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

417966648 is a wasteful number, since it uses less digits than its factorization.

417966648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8948 (or 8944 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The square root of 417966648 is about 20444.2326341685. The cubic root of 417966648 is about 747.6767503345.

It can be divided in two parts, 4179666 and 48, that added together give a palindrome (4179714).

The spelling of 417966648 in words is "four hundred seventeen million, nine hundred sixty-six thousand, six hundred forty-eight".