415568128 has 108 divisors (see below), whose sum is σ = 909259092. Its totient is φ = 189399040.

The previous prime is 415568123. The next prime is 415568207. The reversal of 415568128 is 821865514.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1364224 + 414203904 = 1168^2 + 20352^2 .

It is not an unprimeable number, because it can be changed into a prime (415568123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3033276 + ... + 3033412.

Almost surely, 2^415568128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415568128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454629546).

415568128 is an abundant number, since it is smaller than the sum of its proper divisors (493690964).

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

415568128 is a wasteful number, since it uses less digits than its factorization.

415568128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 197 counting only the distinct ones).

The product of its digits is 76800, while the sum is 40.

The square root of 415568128 is about 20385.4881717363. The cubic root of 415568128 is about 746.2438138629.

The spelling of 415568128 in words is "four hundred fifteen million, five hundred sixty-eight thousand, one hundred twenty-eight".