8406400 has 96 divisors (see below), whose sum is σ = 21628080. Its totient is φ = 3225600.

The previous prime is 8406367. The next prime is 8406439. The reversal of 8406400 is 46048.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118365 + ... + 118435.

Almost surely, 2^8406400 is an apocalyptic number.

8406400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10814040).

8406400 is an abundant number, since it is smaller than the sum of its proper divisors (13221680).

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

8406400 is a wasteful number, since it uses less digits than its factorization.

8406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 8406400 is about 2899.3792439072. The cubic root of 8406400 is about 203.3308847386.

The spelling of 8406400 in words is "eight million, four hundred six thousand, four hundred".