8350400 has 84 divisors (see below), whose sum is σ = 21826728. Its totient is φ = 3133440.

The previous prime is 8350399. The next prime is 8350457. The reversal of 8350400 is 40538.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27047 + ... + 27353.

It is an arithmetic number, because the mean of its divisors is an integer number (259842).

Almost surely, 2^8350400 is an apocalyptic number.

8350400 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 8350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10913364).

8350400 is an abundant number, since it is smaller than the sum of its proper divisors (13476328).

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

8350400 is a wasteful number, since it uses less digits than its factorization.

8350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 8350400 is about 2889.7058673851. The cubic root of 8350400 is about 202.8783760282.

Adding to 8350400 its reverse (40538), we get a palindrome (8390938).

The spelling of 8350400 in words is "eight million, three hundred fifty thousand, four hundred".