4890904225 has 27 divisors (see below), whose sum is σ = 6182726521. Its totient is φ = 3838032800.

The previous prime is 4890904181. The next prime is 4890904261. The reversal of 4890904225 is 5224090984.

It is a happy number.

The square root of 4890904225 is 69935.

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 1127817889 + 3763086336 = 33583^2 + 61344^2 .

It is not a de Polignac number, because 4890904225 - 2¹⁹ = 4890379937 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 24826827 + ... + 24827023.

Almost surely, 2^4890904225 is an apocalyptic number.

4890904225 is the 69935-th square number.

4890904225 is the 34968-th centered octagonal number.

It is an amenable number.

4890904225 is a deficient number, since it is larger than the sum of its proper divisors (1291822296).

4890904225 is an frugal number, since it uses more digits than its factorization.

4890904225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The cubic root of 4890904225 is about 1697.4476375319.

The spelling of 4890904225 in words is "four billion, eight hundred ninety million, nine hundred four thousand, two hundred twenty-five".