403005625 has 45 divisors (see below), whose sum is σ = 561225819. Its totient is φ = 289080000.

The previous prime is 403005613. The next prime is 403005643. The reversal of 403005625 is 526500304.

The square root of 403005625 is 20075.

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 285846649 + 117158976 = 16907^2 + 10824^2 .

It is not a de Polignac number, because 403005625 - 2⁷ = 403005497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 403005625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5520589 + ... + 5520661.

Almost surely, 2^403005625 is an apocalyptic number.

403005625 is the 20075-th square number.

403005625 is the 10038-th centered octagonal number.

It is an amenable number.

403005625 is a deficient number, since it is larger than the sum of its proper divisors (158220194).

403005625 is an frugal number, since it uses more digits than its factorization.

403005625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The cubic root of 403005625 is about 738.6471661321.

Multiplying 403005625 by its sum of digits (25), we get a square (10075140625 = 100375²).

403005625 divided by its sum of digits (25) gives a square (16120225 = 4015²).

Multiplying 403005625 by its product of nonzero digits (3600), we get a square (1450820250000 = 1204500²).

Adding to 403005625 its reverse (526500304), we get a palindrome (929505929).

The spelling of 403005625 in words is "four hundred three million, five thousand, six hundred twenty-five".