185385500 has 48 divisors (see below), whose sum is σ = 409002048. Its totient is φ = 73400000.

The previous prime is 185385481. The next prime is 185385511. The reversal of 185385500 is 5583581.

It is a super-2 number, since 2×185385500² = 68735567220500000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 48665 + ... + 52335.

It is an arithmetic number, because the mean of its divisors is an integer number (8520876).

Almost surely, 2^185385500 is an apocalyptic number.

185385500 is a gapful number since it is divisible by the number (10) 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 185385500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204501024).

185385500 is an abundant number, since it is smaller than the sum of its proper divisors (223616548).

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

185385500 is a wasteful number, since it uses less digits than its factorization.

185385500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3791 (or 3779 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 35.

The square root of 185385500 is about 13615.6343957966. The cubic root of 185385500 is about 570.1974282754.

The spelling of 185385500 in words is "one hundred eighty-five million, three hundred eighty-five thousand, five hundred".