8413800 has 96 divisors (see below), whose sum is σ = 26858400. Its totient is φ = 2177280.

The previous prime is 8413781. The next prime is 8413807. The reversal of 8413800 is 83148.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (8413807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22011 + ... + 22389.

It is an arithmetic number, because the mean of its divisors is an integer number (279775).

Almost surely, 2^8413800 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 8413800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13429200).

8413800 is an abundant number, since it is smaller than the sum of its proper divisors (18444600).

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

8413800 is a wasteful number, since it uses less digits than its factorization.

8413800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 8413800 is about 2900.6550984217. The cubic root of 8413800 is about 203.3905300588.

Adding to 8413800 its reverse (83148), we get a palindrome (8496948).

The spelling of 8413800 in words is "eight million, four hundred thirteen thousand, eight hundred".