413202144 has 48 divisors (see below), whose sum is σ = 1089849600. Its totient is φ = 137074560.

The previous prime is 413202143. The next prime is 413202157. The reversal of 413202144 is 441202314.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 413202144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413202143) 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 7 ways as a sum of consecutive naturals, for example, 10057 + ... + 30455.

It is an arithmetic number, because the mean of its divisors is an integer number (22705200).

Almost surely, 2^413202144 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 413202144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544924800).

413202144 is an abundant number, since it is smaller than the sum of its proper divisors (676647456).

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

413202144 is a wasteful number, since it uses less digits than its factorization.

413202144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20623 (or 20615 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 413202144 is about 20327.3742524705. The cubic root of 413202144 is about 744.8249030720.

Adding to 413202144 its reverse (441202314), we get a palindrome (854404458).

The spelling of 413202144 in words is "four hundred thirteen million, two hundred two thousand, one hundred forty-four".