413324040 has 128 divisors (see below), whose sum is σ = 1285263360. Its totient is φ = 106251264.

The previous prime is 413324039. The next prime is 413324057. The reversal of 413324040 is 40423314.

413324040 = T₃₄₅ + T₃₄₆ + ... + T₁₃₆₀.

It is a junction number, because it is equal to n+sod(n) for n = 413323998 and 413324016.

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 31 ways as a sum of consecutive naturals, for example, 563514 + ... + 564246.

It is an arithmetic number, because the mean of its divisors is an integer number (10041120).

Almost surely, 2^413324040 is an apocalyptic number.

413324040 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 413324040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642631680).

413324040 is an abundant number, since it is smaller than the sum of its proper divisors (871939320).

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

413324040 is a wasteful number, since it uses less digits than its factorization.

413324040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 413324040 is about 20330.3723527141. The cubic root of 413324040 is about 744.8981378082.

Adding to 413324040 its reverse (40423314), we get a palindrome (453747354).

The spelling of 413324040 in words is "four hundred thirteen million, three hundred twenty-four thousand, forty".