413145324 has 36 divisors (see below), whose sum is σ = 1045044000. Its totient is φ = 137622240.

The previous prime is 413145323. The next prime is 413145331. The reversal of 413145324 is 423541314.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (413145323) 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, 69094 + ... + 74834.

It is an arithmetic number, because the mean of its divisors is an integer number (29029000).

Almost surely, 2^413145324 is an apocalyptic number.

It is an amenable number.

413145324 is an abundant number, since it is smaller than the sum of its proper divisors (631898676).

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

413145324 is a wasteful number, since it uses less digits than its factorization.

413145324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7750 (or 7745 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 413145324 is about 20325.9765817045. The cubic root of 413145324 is about 744.7907608718.

Adding to 413145324 its reverse (423541314), we get a palindrome (836686638).

It can be divided in two parts, 4131 and 45324, that added together give a triangular number (49455 = T₃₁₄).

The spelling of 413145324 in words is "four hundred thirteen million, one hundred forty-five thousand, three hundred twenty-four".