284494672094400 has 420 divisors, whose sum is σ = 1048226829683880. Its totient is φ = 75684168806400.

The previous prime is 284494672094371. The next prime is 284494672094401. The reversal of 284494672094400 is 4490276494482.

284494672094400 is a `hidden beast` number, since 2 + 8 + 4 + 49 + 467 + 2 + 0 + 94 + 40 + 0 = 666.

It is a super-2 number, since 2×284494672094400² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (284494672094401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 51682860 + ... + 56921940.

It is an arithmetic number, because the mean of its divisors is an integer number (2495778165914).

Almost surely, 2^{284494672094400} is an apocalyptic number.

284494672094400 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 284494672094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524113414841940).

284494672094400 is an abundant number, since it is smaller than the sum of its proper divisors (763732157589480).

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

284494672094400 is a wasteful number, since it uses less digits than its factorization.

284494672094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5239534 (or 5239510 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 284494672094400 in words is "two hundred eighty-four trillion, four hundred ninety-four billion, six hundred seventy-two million, ninety-four thousand, four hundred".