413200410 has 128 divisors (see below), whose sum is σ = 1234483200. Its totient is φ = 86365440.

The previous prime is 413200399. The next prime is 413200427. The reversal of 413200410 is 14002314.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 413200410.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113925 + ... + 117495.

It is an arithmetic number, because the mean of its divisors is an integer number (9644400).

Almost surely, 2^413200410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413200410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617241600).

413200410 is an abundant number, since it is smaller than the sum of its proper divisors (821282790).

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

413200410 is a wasteful number, since it uses less digits than its factorization.

413200410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3636.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 413200410 is about 20327.3316005815. The cubic root of 413200410 is about 744.8238611863.

Adding to 413200410 its reverse (14002314), we get a palindrome (427202724).

The spelling of 413200410 in words is "four hundred thirteen million, two hundred thousand, four hundred ten".