417241248 has 48 divisors (see below), whose sum is σ = 1096796736. Its totient is φ = 138885120.

The previous prime is 417241213. The next prime is 417241271. The reversal of 417241248 is 842142714.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 76368 + ... + 81648.

It is an arithmetic number, because the mean of its divisors is an integer number (22849932).

Almost surely, 2^417241248 is an apocalyptic number.

417241248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

417241248 is an abundant number, since it is smaller than the sum of its proper divisors (679555488).

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

417241248 is a wasteful number, since it uses less digits than its factorization.

417241248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6117 (or 6109 counting only the distinct ones).

The product of its digits is 14336, while the sum is 33.

The square root of 417241248 is about 20426.4839852580. The cubic root of 417241248 is about 747.2439576014.

The spelling of 417241248 in words is "four hundred seventeen million, two hundred forty-one thousand, two hundred forty-eight".