203385120 has 192 divisors, whose sum is σ = 698544000. Its totient is φ = 49545216.

The previous prime is 203385107. The next prime is 203385157. The reversal of 203385120 is 21583302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264096 + ... + 264864.

It is an arithmetic number, because the mean of its divisors is an integer number (3638250).

Almost surely, 2^203385120 is an apocalyptic number.

203385120 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 203385120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349272000).

203385120 is an abundant number, since it is smaller than the sum of its proper divisors (495158880).

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

203385120 is a wasteful number, since it uses less digits than its factorization.

203385120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 203385120 is about 14261.3155073436. The cubic root of 203385120 is about 588.0844896870.

It can be divided in two parts, 2033 and 85120, that added together give a triangular number (87153 = T₄₁₇).

The spelling of 203385120 in words is "two hundred three million, three hundred eighty-five thousand, one hundred twenty".