84434400 has 180 divisors, whose sum is σ = 308152152. Its totient is φ = 22498560.

The previous prime is 84434387. The next prime is 84434401. The reversal of 84434400 is 443448.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84434401) 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 29 ways as a sum of consecutive naturals, for example, 64149 + ... + 65451.

Almost surely, 2^84434400 is an apocalyptic number.

84434400 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 84434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154076076).

84434400 is an abundant number, since it is smaller than the sum of its proper divisors (223717752).

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

84434400 is a wasteful number, since it uses less digits than its factorization.

84434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 84434400 is about 9188.8192930322. The cubic root of 84434400 is about 438.7055620126.

Adding to 84434400 its reverse (443448), we get a palindrome (84877848).

The spelling of 84434400 in words is "eighty-four million, four hundred thirty-four thousand, four hundred".