84459984400 has 135 divisors (see below), whose sum is σ = 223207894119. Its totient is φ = 30689472000.

The previous prime is 84459984331. The next prime is 84459984419. The reversal of 84459984400 is 448995448.

It is a happy number.

The square root of 84459984400 is 290620.

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

It can be written as a sum of positive squares in 4 ways, for example, as 10901865744 + 73558118656 = 104412^2 + 271216^2 .

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 63935740 + ... + 63937060.

Almost surely, 2^84459984400 is an apocalyptic number.

84459984400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

84459984400 is the 290620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84459984400

84459984400 is an abundant number, since it is smaller than the sum of its proper divisors (138747909719).

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

84459984400 is a wasteful number, since it uses less digits than its factorization.

84459984400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 55.

The spelling of 84459984400 in words is "eighty-four billion, four hundred fifty-nine million, nine hundred eighty-four thousand, four hundred".