413412336 has 200 divisors, whose sum is σ = 1279541120. Its totient is φ = 128490624.

The previous prime is 413412331. The next prime is 413412347. The reversal of 413412336 is 633214314.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413412331) 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 39 ways as a sum of consecutive naturals, for example, 2536191 + ... + 2536353.

Almost surely, 2^413412336 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 413412336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639770560).

413412336 is an abundant number, since it is smaller than the sum of its proper divisors (866128784).

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

413412336 is a wasteful number, since it uses less digits than its factorization.

413412336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 290 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 413412336 is about 20332.5437660909. The cubic root of 413412336 is about 744.9511767773.

The spelling of 413412336 in words is "four hundred thirteen million, four hundred twelve thousand, three hundred thirty-six".