416017248 has 96 divisors (see below), whose sum is σ = 1117670400. Its totient is φ = 135461376.

The previous prime is 416017247. The next prime is 416017279. The reversal of 416017248 is 842710614.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416017243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 868273 + ... + 868751.

It is an arithmetic number, because the mean of its divisors is an integer number (11642400).

Almost surely, 2^416017248 is an apocalyptic number.

416017248 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 416017248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558835200).

416017248 is an abundant number, since it is smaller than the sum of its proper divisors (701653152).

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

416017248 is a wasteful number, since it uses less digits than its factorization.

416017248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 416017248 is about 20396.5008763758. The cubic root of 416017248 is about 746.5125482645.

The spelling of 416017248 in words is "four hundred sixteen million, seventeen thousand, two hundred forty-eight".