505200405 has 64 divisors (see below), whose sum is σ = 912291840. Its totient is φ = 237447936.

The previous prime is 505200383. The next prime is 505200413. The reversal of 505200405 is 504002505.

It is not a de Polignac number, because 505200405 - 2¹⁶ = 505134869 is a prime.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 241494 + ... + 243576.

It is an arithmetic number, because the mean of its divisors is an integer number (14254560).

Almost surely, 2^505200405 is an apocalyptic number.

It is an amenable number.

505200405 is a deficient number, since it is larger than the sum of its proper divisors (407091435).

505200405 is a wasteful number, since it uses less digits than its factorization.

505200405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170.

The product of its (nonzero) digits is 1000, while the sum is 21.

The square root of 505200405 is about 22476.6635646841. The cubic root of 505200405 is about 796.4427501826.

The spelling of 505200405 in words is "five hundred five million, two hundred thousand, four hundred five".