506403205 has 32 divisors (see below), whose sum is σ = 758999808. Its totient is φ = 315110400.

The previous prime is 506403203. The next prime is 506403223. The reversal of 506403205 is 502304605.

It is not a de Polignac number, because 506403205 - 2¹ = 506403203 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 506403205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506403203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 338439 + ... + 339931.

It is an arithmetic number, because the mean of its divisors is an integer number (23718744).

Almost surely, 2^506403205 is an apocalyptic number.

506403205 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

506403205 is a deficient number, since it is larger than the sum of its proper divisors (252596603).

506403205 is a wasteful number, since it uses less digits than its factorization.

506403205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397.

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

The square root of 506403205 is about 22503.4042980168. The cubic root of 506403205 is about 797.0743161145.

The spelling of 506403205 in words is "five hundred six million, four hundred three thousand, two hundred five".