506738900 has 18 divisors (see below), whose sum is σ = 1099623630. Its totient is φ = 202695520.

The previous prime is 506738863. The next prime is 506738909. The reversal of 506738900 is 9837605.

It can be written as a sum of positive squares in 3 ways, for example, as 57214096 + 449524804 = 7564^2 + 21202^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506738909) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2533595 + ... + 2533794.

Almost surely, 2^506738900 is an apocalyptic number.

506738900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506738900 is an abundant number, since it is smaller than the sum of its proper divisors (592884730).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

506738900 is a wasteful number, since it uses less digits than its factorization.

506738900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5067403 (or 5067396 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 506738900 is about 22510.8618226846. The cubic root of 506738900 is about 797.2504042308.

The spelling of 506738900 in words is "five hundred six million, seven hundred thirty-eight thousand, nine hundred".