8409400 has 48 divisors (see below), whose sum is σ = 20590200. Its totient is φ = 3185280.

The previous prime is 8409383. The next prime is 8409403. The reversal of 8409400 is 49048.

8409400 is nontrivially palindromic in base 3.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8409403) 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 11 ways as a sum of consecutive naturals, for example, 2694 + ... + 4906.

Almost surely, 2^8409400 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 8409400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10295100).

8409400 is an abundant number, since it is smaller than the sum of its proper divisors (12180800).

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

8409400 is a wasteful number, since it uses less digits than its factorization.

8409400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2248 (or 2239 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 8409400 is about 2899.8965498790. The cubic root of 8409400 is about 203.3550694910.

The spelling of 8409400 in words is "eight million, four hundred nine thousand, four hundred".