413042420 has 48 divisors (see below), whose sum is σ = 1000433280. Its totient is φ = 140310144.

The previous prime is 413042411. The next prime is 413042437. The reversal of 413042420 is 24240314.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 413042392 and 413042401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1727 + ... + 28793.

It is an arithmetic number, because the mean of its divisors is an integer number (20842360).

Almost surely, 2^413042420 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 413042420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500216640).

413042420 is an abundant number, since it is smaller than the sum of its proper divisors (587390860).

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

413042420 is a wasteful number, since it uses less digits than its factorization.

413042420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27192 (or 27190 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 413042420 is about 20323.4450819737. The cubic root of 413042420 is about 744.7289195873.

Adding to 413042420 its reverse (24240314), we get a palindrome (437282734).

The spelling of 413042420 in words is "four hundred thirteen million, forty-two thousand, four hundred twenty".