414531568 has 80 divisors (see below), whose sum is σ = 912843360. Its totient is φ = 180633600.

The previous prime is 414531547. The next prime is 414531571. The reversal of 414531568 is 865135414.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1229896 + ... + 1230232.

It is an arithmetic number, because the mean of its divisors is an integer number (11410542).

Almost surely, 2^414531568 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 414531568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456421680).

414531568 is an abundant number, since it is smaller than the sum of its proper divisors (498311792).

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

414531568 is a wasteful number, since it uses less digits than its factorization.

414531568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 620 counting only the distinct ones).

The product of its digits is 57600, while the sum is 37.

The square root of 414531568 is about 20360.0483300016. The cubic root of 414531568 is about 745.6228402534.

The spelling of 414531568 in words is "four hundred fourteen million, five hundred thirty-one thousand, five hundred sixty-eight".