405966125 has 16 divisors (see below), whose sum is σ = 509601456. Its totient is φ = 322878400.

The previous prime is 405966089. The next prime is 405966149. The reversal of 405966125 is 521669504.

It can be written as a sum of positive squares in 8 ways, for example, as 64516 + 405901609 = 254^2 + 20147^2 .

It is not a de Polignac number, because 405966125 - 2²⁶ = 338857261 is a prime.

It is a Duffinian number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 12239 + ... + 31011.

It is an arithmetic number, because the mean of its divisors is an integer number (31850091).

Almost surely, 2^405966125 is an apocalyptic number.

It is an amenable number.

405966125 is a deficient number, since it is larger than the sum of its proper divisors (103635331).

405966125 is a wasteful number, since it uses less digits than its factorization.

405966125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18961 (or 18951 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 38.

The square root of 405966125 is about 20148.6010680643. The cubic root of 405966125 is about 740.4514684801.

The spelling of 405966125 in words is "four hundred five million, nine hundred sixty-six thousand, one hundred twenty-five".