413131420 has 48 divisors (see below), whose sum is σ = 964470528. Its totient is φ = 147617280.

The previous prime is 413131417. The next prime is 413131427. The reversal of 413131420 is 24131314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413131427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17569 + ... + 33688.

It is an arithmetic number, because the mean of its divisors is an integer number (20093136).

Almost surely, 2^413131420 is an apocalyptic number.

It is an amenable number.

413131420 is an abundant number, since it is smaller than the sum of its proper divisors (551339108).

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

413131420 is a wasteful number, since it uses less digits than its factorization.

413131420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51310 (or 51308 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 413131420 is about 20325.6345534401. The cubic root of 413131420 is about 744.7824057109.

Adding to 413131420 its reverse (24131314), we get a palindrome (437262734).

The spelling of 413131420 in words is "four hundred thirteen million, one hundred thirty-one thousand, four hundred twenty".