284798332225 has 81 divisors (see below), whose sum is σ = 402384263337. Its totient is φ = 199804176000.

The previous prime is 284798332223. The next prime is 284798332237. The reversal of 284798332225 is 522233897482.

The square root of 284798332225 is 533665.

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 159994400049 + 124803932176 = 399993^2 + 353276^2 .

It is not a de Polignac number, because 284798332225 - 2¹ = 284798332223 is a prime.

It is a super-2 number, since 2×284798332225² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

Its product of digits (11612160) is a multiple of the sum of its prime divisors (360).

It is not an unprimeable number, because it can be changed into a prime (284798332223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 909898669 + ... + 909898981.

Almost surely, 2^284798332225 is an apocalyptic number.

284798332225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

284798332225 is the 533665-th square number.

284798332225 is the 266833-rd centered octagonal number.

It is an amenable number.

284798332225 is a deficient number, since it is larger than the sum of its proper divisors (117585931112).

284798332225 is an equidigital number, since it uses as much as digits as its factorization.

284798332225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 360 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 55.

The spelling of 284798332225 in words is "two hundred eighty-four billion, seven hundred ninety-eight million, three hundred thirty-two thousand, two hundred twenty-five".