415745568 has 192 divisors, whose sum is σ = 1413054720. Its totient is φ = 116453376.

The previous prime is 415745521. The next prime is 415745581. The reversal of 415745568 is 865547514.

415745568 is a `hidden beast` number, since 4 + 15 + 74 + 5 + 568 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319896 + ... + 321192.

It is an arithmetic number, because the mean of its divisors is an integer number (7359660).

Almost surely, 2^415745568 is an apocalyptic number.

415745568 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 415745568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706527360).

415745568 is an abundant number, since it is smaller than the sum of its proper divisors (997309152).

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

415745568 is a wasteful number, since it uses less digits than its factorization.

415745568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1362 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The square root of 415745568 is about 20389.8398228137. The cubic root of 415745568 is about 746.3500095757.

It can be divided in two parts, 41 and 5745568, that added together give a square (5745609 = 2397²).

The spelling of 415745568 in words is "four hundred fifteen million, seven hundred forty-five thousand, five hundred sixty-eight".