8434400 has 72 divisors (see below), whose sum is σ = 22201704. Its totient is φ = 3110400.

The previous prime is 8434379. The next prime is 8434403. The reversal of 8434400 is 44348.

It is a super-2 number, since 2×8434400² = 142278206720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8434403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9995 + ... + 10805.

It is an arithmetic number, because the mean of its divisors is an integer number (308357).

Almost surely, 2^8434400 is an apocalyptic number.

8434400 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 8434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11100852).

8434400 is an abundant number, since it is smaller than the sum of its proper divisors (13767304).

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

8434400 is a wasteful number, since it uses less digits than its factorization.

8434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 8434400 is about 2904.2038495946. The cubic root of 8434400 is about 203.5563857621.

Adding to 8434400 its reverse (44348), we get a palindrome (8478748).

The spelling of 8434400 in words is "eight million, four hundred thirty-four thousand, four hundred".