204747481 has 9 divisors (see below), whose sum is σ = 210466173. Its totient is φ = 199181280.

The previous prime is 204747461. The next prime is 204747527. The reversal of 204747481 is 184747402.

The square root of 204747481 is 14309.

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 20331081 + 184416400 = 4509^2 + 13580^2 .

It is not a de Polignac number, because 204747481 - 2⁷ = 204747353 is a prime.

It is a super-2 number, since 2×204747481² = 83843061951690722, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 204747481.

It is not an unprimeable number, because it can be changed into a prime (204747421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 586495 + ... + 586843.

Almost surely, 2^204747481 is an apocalyptic number.

204747481 is the 14309-th square number.

204747481 is the 7155-th centered octagonal number.

It is an amenable number.

204747481 is a deficient number, since it is larger than the sum of its proper divisors (5718692).

204747481 is an frugal number, since it uses more digits than its factorization.

204747481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 37.

The cubic root of 204747481 is about 589.3946496284.

Multiplying 204747481 by its product of nonzero digits (50176), we get a square (10273409606656 = 3205216²).

The spelling of 204747481 in words is "two hundred four million, seven hundred forty-seven thousand, four hundred eighty-one".