201864500 has 24 divisors (see below), whose sum is σ = 440873160. Its totient is φ = 80745600.

The previous prime is 201864497. The next prime is 201864503. The reversal of 201864500 is 5468102.

201864500 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201864497) and next prime (201864503).

It can be written as a sum of positive squares in 4 ways, for example, as 9709456 + 192155044 = 3116^2 + 13862^2 .

201864500 is strictly pandigital in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 201864500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201864503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201365 + ... + 202364.

It is an arithmetic number, because the mean of its divisors is an integer number (18369715).

Almost surely, 2^201864500 is an apocalyptic number.

201864500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201864500 is an abundant number, since it is smaller than the sum of its proper divisors (239008660).

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

201864500 is a wasteful number, since it uses less digits than its factorization.

201864500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403748 (or 403736 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 201864500 is about 14207.9027305229. The cubic root of 201864500 is about 586.6152065457.

The spelling of 201864500 in words is "two hundred one million, eight hundred sixty-four thousand, five hundred".