200305420 has 48 divisors (see below), whose sum is σ = 493738560. Its totient is φ = 66818304.

The previous prime is 200305397. The next prime is 200305423. The reversal of 200305420 is 24503002.

200305420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×200305420² = 80244522562752800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 200305394 and 200305403.

It is not an unprimeable number, because it can be changed into a prime (200305423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14155 + ... + 24514.

It is an arithmetic number, because the mean of its divisors is an integer number (10286220).

Almost surely, 2^200305420 is an apocalyptic number.

200305420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200305420 is an abundant number, since it is smaller than the sum of its proper divisors (293433140).

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

200305420 is a wasteful number, since it uses less digits than its factorization.

200305420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38722 (or 38720 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 200305420 is about 14152.9297320378. The cubic root of 200305420 is about 585.1010807389.

Adding to 200305420 its reverse (24503002), we get a palindrome (224808422).

The spelling of 200305420 in words is "two hundred million, three hundred five thousand, four hundred twenty".