284304112142400 has 945 divisors, whose sum is σ = 1215829321017597. Its totient is φ = 64974084940800.

The previous prime is 284304112142327. The next prime is 284304112142443. The reversal of 284304112142400 is 4241211403482.

The square root of 284304112142400 is 16861320.

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

284304112142400 is a `hidden beast` number, since 2 + 8 + 4 + 3 + 0 + 411 + 214 + 24 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 102349480371264 + 181954631771136 = 10116792^2 + 13489056^2 .

It is a tau number, because it is divible by the number of its divisors (945).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 42490523055 + ... + 42490529745.

Almost surely, 2^{284304112142400} is an apocalyptic number.

284304112142400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

284304112142400 is the 16861320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284304112142400

284304112142400 is an abundant number, since it is smaller than the sum of its proper divisors (931525208875197).

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

284304112142400 is an frugal number, since it uses more digits than its factorization.

284304112142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13430 (or 6708 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

284304112142400 divided by its sum of digits (36) gives a square (7897336448400 = 2810220²).

Adding to 284304112142400 its reverse (4241211403482), we get a palindrome (288545323545882).

The spelling of 284304112142400 in words is "two hundred eighty-four trillion, three hundred four billion, one hundred twelve million, one hundred forty-two thousand, four hundred".