4200984225 has 81 divisors (see below), whose sum is σ = 7845491563. Its totient is φ = 2148746880.

The previous prime is 4200984211. The next prime is 4200984259. The reversal of 4200984225 is 5224890024.

The square root of 4200984225 is 64815.

It is a perfect power (a square), and thus also a powerful number.

4200984225 is a `hidden beast` number, since 420 + 0 + 9 + 8 + 4 + 225 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 3979212561 + 221771664 = 63081^2 + 14892^2 .

It is not a de Polignac number, because 4200984225 - 2⁷ = 4200984097 is a prime.

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 4200984225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 28194451 + ... + 28194599.

Almost surely, 2^4200984225 is an apocalyptic number.

4200984225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4200984225 is the 64815-th square number.

4200984225 is the 32408-th centered octagonal number.

It is an amenable number.

4200984225 is a deficient number, since it is larger than the sum of its proper divisors (3644507338).

4200984225 is a wasteful number, since it uses less digits than its factorization.

4200984225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The cubic root of 4200984225 is about 1613.5546660867.

Multiplying 4200984225 by its sum of digits (36), we get a square (151235432100 = 388890²).

The spelling of 4200984225 in words is "four billion, two hundred million, nine hundred eighty-four thousand, two hundred twenty-five".