405352025 has 24 divisors (see below), whose sum is σ = 543053784. Its totient is φ = 298368000.

The previous prime is 405352009. The next prime is 405352037. The reversal of 405352025 is 520253504.

It can be written as a sum of positive squares in 12 ways, for example, as 248125504 + 157226521 = 15752^2 + 12539^2 .

It is not a de Polignac number, because 405352025 - 2⁴ = 405352009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 405351985 and 405352003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107675 + ... + 111375.

It is an arithmetic number, because the mean of its divisors is an integer number (22627241).

Almost surely, 2^405352025 is an apocalyptic number.

It is an amenable number.

405352025 is a deficient number, since it is larger than the sum of its proper divisors (137701759).

405352025 is a wasteful number, since it uses less digits than its factorization.

405352025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4061 (or 4056 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 26.

The square root of 405352025 is about 20133.3560292367. The cubic root of 405352025 is about 740.0779227659.

The spelling of 405352025 in words is "four hundred five million, three hundred fifty-two thousand, twenty-five".