417490848 has 240 divisors, whose sum is σ = 1317254400. Its totient is φ = 129406464.

The previous prime is 417490841. The next prime is 417490859. The reversal of 417490848 is 848094714.

It is not an unprimeable number, because it can be changed into a prime (417490841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2801878 + ... + 2802026.

It is an arithmetic number, because the mean of its divisors is an integer number (5488560).

Almost surely, 2^417490848 is an apocalyptic number.

417490848 is a gapful number since it is divisible by the number (48) 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 417490848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658627200).

417490848 is an abundant number, since it is smaller than the sum of its proper divisors (899763552).

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

417490848 is a wasteful number, since it uses less digits than its factorization.

417490848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 417490848 is about 20432.5927870156. The cubic root of 417490848 is about 747.3929320965.

The spelling of 417490848 in words is "four hundred seventeen million, four hundred ninety thousand, eight hundred forty-eight".