506377406404 has 27 divisors (see below), whose sum is σ = 917846227207. Its totient is φ = 244438133408.

The previous prime is 506377406399. The next prime is 506377406461. The reversal of 506377406404 is 404604773605.

The square root of 506377406404 is 711602.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 149538436804 + 356838969600 = 386702^2 + 597360^2 .

It is a super-2 number, since 2×506377406404² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 41266782 + ... + 41279050.

Almost surely, 2^506377406404 is an apocalyptic number.

506377406404 is the 711602-nd square number.

It is an amenable number.

506377406404 is a deficient number, since it is larger than the sum of its proper divisors (411468820803).

506377406404 is an frugal number, since it uses more digits than its factorization.

506377406404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24600 (or 12300 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 46.

The spelling of 506377406404 in words is "five hundred six billion, three hundred seventy-seven million, four hundred six thousand, four hundred four".