406744195225 has 27 divisors (see below), whose sum is σ = 507485980407. Its totient is φ = 323392774080.

The previous prime is 406744195219. The next prime is 406744195241. The reversal of 406744195225 is 522591447604.

The square root of 406744195225 is 637765.

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

It can be written as a sum of positive squares in 13 ways, for example, as 246267040009 + 160477155216 = 496253^2 + 400596^2 .

It is not a de Polignac number, because 406744195225 - 2³¹ = 404596711577 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 (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 730240647 + ... + 730241203.

Almost surely, 2^406744195225 is an apocalyptic number.

406744195225 is the 637765-th square number.

406744195225 is the 318883-rd centered octagonal number.

It is an amenable number.

406744195225 is a deficient number, since it is larger than the sum of its proper divisors (100741785182).

406744195225 is an frugal number, since it uses more digits than its factorization.

406744195225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 49.

Multiplying 406744195225 by its sum of digits (49), we get a square (19930465566025 = 4464355²).

The spelling of 406744195225 in words is "four hundred six billion, seven hundred forty-four million, one hundred ninety-five thousand, two hundred twenty-five".