536948500 has 96 divisors (see below), whose sum is σ = 1287861120. Its totient is φ = 193952000.

The previous prime is 536948491. The next prime is 536948509. The reversal of 536948500 is 5849635.

It is an interprime number because it is at equal distance from previous prime (536948491) and next prime (536948509).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536948509) 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, 1281291 + ... + 1281709.

It is an arithmetic number, because the mean of its divisors is an integer number (13415220).

Almost surely, 2^536948500 is an apocalyptic number.

536948500 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 536948500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643930560).

536948500 is an abundant number, since it is smaller than the sum of its proper divisors (750912620).

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

536948500 is a wasteful number, since it uses less digits than its factorization.

536948500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The square root of 536948500 is about 23172.1492313510. The cubic root of 536948500 is about 812.7884892718.

The spelling of 536948500 in words is "five hundred thirty-six million, nine hundred forty-eight thousand, five hundred".