20385200 has 120 divisors (see below), whose sum is σ = 55215216. Its totient is φ = 7168000.

The previous prime is 20385181. The next prime is 20385203. The reversal of 20385200 is 258302.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (20385203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180344 + ... + 180456.

Almost surely, 2^20385200 is an apocalyptic number.

20385200 is a gapful number since it is divisible by the number (20) 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 20385200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27607608).

20385200 is an abundant number, since it is smaller than the sum of its proper divisors (34830016).

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

20385200 is a wasteful number, since it uses less digits than its factorization.

20385200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 20385200 is about 4514.9972314499. The cubic root of 20385200 is about 273.1733481115.

The spelling of 20385200 in words is "twenty million, three hundred eighty-five thousand, two hundred".