415411568 has 80 divisors (see below), whose sum is σ = 965938176. Its totient is φ = 170545920.

The previous prime is 415411567. The next prime is 415411583. The reversal of 415411568 is 865114514.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415411561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105605 + ... + 109467.

Almost surely, 2^415411568 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 415411568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482969088).

415411568 is an abundant number, since it is smaller than the sum of its proper divisors (550526608).

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

415411568 is a wasteful number, since it uses less digits than its factorization.

415411568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3942 (or 3936 counting only the distinct ones).

The product of its digits is 19200, while the sum is 35.

The square root of 415411568 is about 20381.6478234710. The cubic root of 415411568 is about 746.1500894742.

The spelling of 415411568 in words is "four hundred fifteen million, four hundred eleven thousand, five hundred sixty-eight".