8459400625 has 45 divisors (see below), whose sum is σ = 11487150279. Its totient is φ = 6224868000.

The previous prime is 8459400611. The next prime is 8459400629. The reversal of 8459400625 is 5260049548.

The square root of 8459400625 is 91975.

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

It can be written as a sum of positive squares in 7 ways, for example, as 8355605281 + 103795344 = 91409^2 + 10188^2 .

It is not a de Polignac number, because 8459400625 - 2¹⁵ = 8459367857 is a prime.

It is a super-2 number, since 2×8459400625² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8459400629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 29891734 + ... + 29892016.

Almost surely, 2^8459400625 is an apocalyptic number.

8459400625 is the 91975-th square number.

8459400625 is the 45988-th centered octagonal number.

It is an amenable number.

8459400625 is a deficient number, since it is larger than the sum of its proper divisors (3027749654).

8459400625 is an frugal number, since it uses more digits than its factorization.

8459400625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The cubic root of 8459400625 is about 2037.5730963526.

The spelling of 8459400625 in words is "eight billion, four hundred fifty-nine million, four hundred thousand, six hundred twenty-five".