538756900 has 72 divisors (see below), whose sum is σ = 1279043136. Its totient is φ = 195350400.

The previous prime is 538756871. The next prime is 538756903. The reversal of 538756900 is 9657835.

It is a super-2 number, since 2×538756900² = 580517994595220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (538756903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 711322 + ... + 712078.

It is an arithmetic number, because the mean of its divisors is an integer number (17764488).

Almost surely, 2^538756900 is an apocalyptic number.

538756900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 538756900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639521568).

538756900 is an abundant number, since it is smaller than the sum of its proper divisors (740286236).

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

538756900 is a wasteful number, since it uses less digits than its factorization.

538756900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 43.

The square root of 538756900 is about 23211.1374128887. The cubic root of 538756900 is about 813.6999358850.

It can be divided in two parts, 538756 and 900, that multiplied together give a square (484880400 = 22020²).

The spelling of 538756900 in words is "five hundred thirty-eight million, seven hundred fifty-six thousand, nine hundred".