415786816 has 84 divisors (see below), whose sum is σ = 897753348. Its totient is φ = 190394368.

The previous prime is 415786759. The next prime is 415786817. The reversal of 415786816 is 618687514.

It can be written as a sum of positive squares in 2 ways, for example, as 353440000 + 62346816 = 18800^2 + 7896^2 .

It is a super-3 number, since 3×415786816³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415786817) 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 11 ways as a sum of consecutive naturals, for example, 2403306 + ... + 2403478.

Almost surely, 2^415786816 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 415786816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448876674).

415786816 is an abundant number, since it is smaller than the sum of its proper divisors (481966532).

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

415786816 is a wasteful number, since it uses less digits than its factorization.

415786816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 239 counting only the distinct ones).

The product of its digits is 322560, while the sum is 46.

The square root of 415786816 is about 20390.8512818862. The cubic root of 415786816 is about 746.3746916806.

The spelling of 415786816 in words is "four hundred fifteen million, seven hundred eighty-six thousand, eight hundred sixteen".