84204432400 has 135 divisors (see below), whose sum is σ = 222532785853. Its totient is φ = 30596579200.

The previous prime is 84204432397. The next prime is 84204432401. The reversal of 84204432400 is 423440248.

The square root of 84204432400 is 290180.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 30313595664 + 53890836736 = 174108^2 + 232144^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (84204432401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 63838941 + ... + 63840259.

Almost surely, 2^84204432400 is an apocalyptic number.

84204432400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

84204432400 is the 290180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84204432400

84204432400 is an abundant number, since it is smaller than the sum of its proper divisors (138328353453).

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

84204432400 is a wasteful number, since it uses less digits than its factorization.

84204432400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2678 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 84204432400 its reverse (423440248), we get a palindrome (84627872648).

The spelling of 84204432400 in words is "eighty-four billion, two hundred four million, four hundred thirty-two thousand, four hundred".