284120006400 has 540 divisors, whose sum is σ = 1086803487000. Its totient is φ = 73148866560.

The previous prime is 284120006399. The next prime is 284120006413. The reversal of 284120006400 is 4600021482.

284120006400 is a `hidden beast` number, since 2 + 8 + 4 + 12 + 0 + 0 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 15024151 + ... + 15043049.

It is an arithmetic number, because the mean of its divisors is an integer number (2012599050).

Almost surely, 2^284120006400 is an apocalyptic number.

284120006400 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 284120006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543401743500).

284120006400 is an abundant number, since it is smaller than the sum of its proper divisors (802683480600).

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

284120006400 is a wasteful number, since it uses less digits than its factorization.

284120006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18966 (or 18938 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 284120006400 its reverse (4600021482), we get a palindrome (288720027882).

The spelling of 284120006400 in words is "two hundred eighty-four billion, one hundred twenty million, six thousand, four hundred".