284134316400 has 480 divisors, whose sum is σ = 1128921911040. Its totient is φ = 67277952000.

The previous prime is 284134316399. The next prime is 284134316419. The reversal of 284134316400 is 4613431482.

284134316400 is a `hidden beast` number, since 2 + 8 + 4 + 1 + 3 + 4 + 3 + 1 + 640 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5080590 + ... + 5136210.

It is an arithmetic number, because the mean of its divisors is an integer number (2351920648).

Almost surely, 2^284134316400 is an apocalyptic number.

284134316400 is a gapful number since it is divisible by the number (20) 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 284134316400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564460955520).

284134316400 is an abundant number, since it is smaller than the sum of its proper divisors (844787594640).

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

284134316400 is a wasteful number, since it uses less digits than its factorization.

284134316400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55702 (or 55685 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 284134316400 its reverse (4613431482), we get a palindrome (288747747882).

The spelling of 284134316400 in words is "two hundred eighty-four billion, one hundred thirty-four million, three hundred sixteen thousand, four hundred".