200385504 has 144 divisors (see below), whose sum is σ = 636539904. Its totient is φ = 59270400.

The previous prime is 200385503. The next prime is 200385509. The reversal of 200385504 is 405583002.

200385504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200385503) 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, 135489 + ... + 136959.

It is an arithmetic number, because the mean of its divisors is an integer number (4420416).

Almost surely, 2^200385504 is an apocalyptic number.

200385504 is a gapful number since it is divisible by the number (24) 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 200385504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318269952).

200385504 is an abundant number, since it is smaller than the sum of its proper divisors (436154400).

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

200385504 is a wasteful number, since it uses less digits than its factorization.

200385504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 200385504 is about 14155.7586868384. The cubic root of 200385504 is about 585.1790466632.

The spelling of 200385504 in words is "two hundred million, three hundred eighty-five thousand, five hundred four".