415966848 has 256 divisors, whose sum is σ = 1304294400. Its totient is φ = 116121600.

The previous prime is 415966847. The next prime is 415966871. The reversal of 415966848 is 848669514.

It is a self number, because there is not a number n which added to its sum of digits gives 415966848.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415966841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5698140 + ... + 5698212.

It is an arithmetic number, because the mean of its divisors is an integer number (5094900).

Almost surely, 2^415966848 is an apocalyptic number.

415966848 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 415966848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652147200).

415966848 is an abundant number, since it is smaller than the sum of its proper divisors (888327552).

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

415966848 is a wasteful number, since it uses less digits than its factorization.

415966848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 179 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 51.

The square root of 415966848 is about 20395.2653329149. The cubic root of 415966848 is about 746.4824006748.

The spelling of 415966848 in words is "four hundred fifteen million, nine hundred sixty-six thousand, eight hundred forty-eight".