413200020 has 96 divisors (see below), whose sum is σ = 1180569600. Its totient is φ = 107961984.

The previous prime is 413200003. The next prime is 413200057. The reversal of 413200020 is 20002314.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 413199969 and 413200005.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 848217 + ... + 848703.

It is an arithmetic number, because the mean of its divisors is an integer number (12297600).

Almost surely, 2^413200020 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 413200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590284800).

413200020 is an abundant number, since it is smaller than the sum of its proper divisors (767369580).

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

413200020 is a wasteful number, since it uses less digits than its factorization.

413200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 413200020 is about 20327.3220075838. The cubic root of 413200020 is about 744.8236268518.

Adding to 413200020 its reverse (20002314), we get a palindrome (433202334).

The spelling of 413200020 in words is "four hundred thirteen million, two hundred thousand, twenty".