413136160 has 48 divisors (see below), whose sum is σ = 985030200. Its totient is φ = 163731456.

The previous prime is 413136121. The next prime is 413136161. The reversal of 413136160 is 61631314.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 251032336 + 162103824 = 15844^2 + 12732^2 .

It is not an unprimeable number, because it can be changed into a prime (413136161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5596 + ... + 29284.

Almost surely, 2^413136160 is an apocalyptic number.

413136160 is a gapful number since it is divisible by the number (40) 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 413136160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492515100).

413136160 is an abundant number, since it is smaller than the sum of its proper divisors (571894040).

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

413136160 is a wasteful number, since it uses less digits than its factorization.

413136160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23813 (or 23805 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 413136160 is about 20325.7511546314. The cubic root of 413136160 is about 744.7852540823.

Adding to 413136160 its reverse (61631314), we get a palindrome (474767474).

It can be divided in two parts, 41313 and 6160, that multiplied together give a triangular number (254488080 = T₂₂₅₆₀).

The spelling of 413136160 in words is "four hundred thirteen million, one hundred thirty-six thousand, one hundred sixty".