8229400 has 48 divisors (see below), whose sum is σ = 19976400. Its totient is φ = 3146880.

The previous prime is 8229373. The next prime is 8229401. The reversal of 8229400 is 49228.

8229400 = T₁₈₁ + T₁₈₂ + ... + T₃₈₀.

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 (8229401) 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 11 ways as a sum of consecutive naturals, for example, 3706 + ... + 5494.

It is an arithmetic number, because the mean of its divisors is an integer number (416175).

Almost surely, 2^8229400 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 8229400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9988200).

8229400 is an abundant number, since it is smaller than the sum of its proper divisors (11747000).

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

8229400 is a wasteful number, since it uses less digits than its factorization.

8229400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 1819 counting only the distinct ones).

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

The square root of 8229400 is about 2868.6930822240. The cubic root of 8229400 is about 201.8936799579.

The spelling of 8229400 in words is "eight million, two hundred twenty-nine thousand, four hundred".