416989248 has 168 divisors, whose sum is σ = 1218200256. Its totient is φ = 125798400.

The previous prime is 416989247. The next prime is 416989249. The reversal of 416989248 is 842989614.

It is an interprime number because it is at equal distance from previous prime (416989247) and next prime (416989249).

It is a self number, because there is not a number n which added to its sum of digits gives 416989248.

It is not an unprimeable number, because it can be changed into a prime (416989247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2303718 + ... + 2303898.

It is an arithmetic number, because the mean of its divisors is an integer number (7251192).

Almost surely, 2^416989248 is an apocalyptic number.

416989248 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 416989248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609100128).

416989248 is an abundant number, since it is smaller than the sum of its proper divisors (801211008).

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

416989248 is a wasteful number, since it uses less digits than its factorization.

416989248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 270 counting only the distinct ones).

The product of its digits is 995328, while the sum is 51.

The square root of 416989248 is about 20420.3145911124. The cubic root of 416989248 is about 747.0934903749.

The spelling of 416989248 in words is "four hundred sixteen million, nine hundred eighty-nine thousand, two hundred forty-eight".