407599249225 has 243 divisors, whose sum is σ = 664794132093. Its totient is φ = 247120312320.

The previous prime is 407599249133. The next prime is 407599249237. The reversal of 407599249225 is 522942995704.

It is a happy number.

The square root of 407599249225 is 638435.

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

It can be written as a sum of positive squares in 40 ways, for example, as 264948002361 + 142651246864 = 514731^2 + 377692^2 .

It is not a de Polignac number, because 407599249225 - 2⁷ = 407599249097 is a prime.

It is a super-2 number, since 2×407599249225² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 407599249225.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 11016195907 + ... + 11016195943.

Almost surely, 2^407599249225 is an apocalyptic number.

407599249225 is the 638435-th square number.

407599249225 is the 319218-th centered octagonal number.

It is an amenable number.

407599249225 is a deficient number, since it is larger than the sum of its proper divisors (257194882868).

407599249225 is a wasteful number, since it uses less digits than its factorization.

407599249225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 58.

The spelling of 407599249225 in words is "four hundred seven billion, five hundred ninety-nine million, two hundred forty-nine thousand, two hundred twenty-five".