413342500 has 60 divisors (see below), whose sum is σ = 913404492. Its totient is φ = 163600000.

The previous prime is 413342483. The next prime is 413342513. The reversal of 413342500 is 5243314.

It can be written as a sum of positive squares in 10 ways, for example, as 321987136 + 91355364 = 17944^2 + 9558^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 251682 + ... + 253318.

Almost surely, 2^413342500 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 413342500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456702246).

413342500 is an abundant number, since it is smaller than the sum of its proper divisors (500061992).

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

413342500 is a wasteful number, since it uses less digits than its factorization.

413342500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 413342500 is about 20330.8263481837. The cubic root of 413342500 is about 744.9092272631.

Adding to 413342500 its reverse (5243314), we get a palindrome (418585814).

It can be divided in two parts, 41334 and 2500, that added together give a palindrome (43834).

The spelling of 413342500 in words is "four hundred thirteen million, three hundred forty-two thousand, five hundred".