284494224400 has 45 divisors (see below), whose sum is σ = 683523003991. Its totient is φ = 113793422720.

The previous prime is 284494224359. The next prime is 284494224437. The reversal of 284494224400 is 4422494482.

The square root of 284494224400 is 533380.

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 70473259024 + 214020965376 = 265468^2 + 462624^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10654266 + ... + 10680934.

Almost surely, 2^284494224400 is an apocalyptic number.

284494224400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

284494224400 is the 533380-th square number.

It is an amenable number.

284494224400 is an abundant number, since it is smaller than the sum of its proper divisors (399028779591).

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

284494224400 is an frugal number, since it uses more digits than its factorization.

284494224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53356 (or 26676 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 43.

The spelling of 284494224400 in words is "two hundred eighty-four billion, four hundred ninety-four million, two hundred twenty-four thousand, four hundred".