412268688 has 240 divisors, whose sum is σ = 1335122880. Its totient is φ = 117697536.

The previous prime is 412268663. The next prime is 412268693. The reversal of 412268688 is 886862214.

It is a super-3 number, since 3×412268688³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2382970 + ... + 2383142.

It is an arithmetic number, because the mean of its divisors is an integer number (5563012).

Almost surely, 2^412268688 is an apocalyptic number.

412268688 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 412268688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667561440).

412268688 is an abundant number, since it is smaller than the sum of its proper divisors (922854192).

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

412268688 is a wasteful number, since it uses less digits than its factorization.

412268688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 277 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 412268688 is about 20304.4007052658. The cubic root of 412268688 is about 744.2636075957.

The spelling of 412268688 in words is "four hundred twelve million, two hundred sixty-eight thousand, six hundred eighty-eight".