8374400 has 48 divisors (see below), whose sum is σ = 20695290. Its totient is φ = 3348480.

The previous prime is 8374367. The next prime is 8374409. The reversal of 8374400 is 44738.

It can be written as a sum of positive squares in 3 ways, for example, as 7974976 + 399424 = 2824^2 + 632^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8374400.

It is not an unprimeable number, because it can be changed into a prime (8374409) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1892 + ... + 4508.

Almost surely, 2^8374400 is an apocalyptic number.

8374400 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 8374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10347645).

8374400 is an abundant number, since it is smaller than the sum of its proper divisors (12320890).

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

8374400 is a wasteful number, since it uses less digits than its factorization.

8374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2641 (or 2624 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 8374400 is about 2893.8555596297. The cubic root of 8374400 is about 203.0725552968.

The spelling of 8374400 in words is "eight million, three hundred seventy-four thousand, four hundred".