203420506800 has 240 divisors, whose sum is σ = 757336884480. Its totient is φ = 45707934720.

The previous prime is 203420506799. The next prime is 203420506811. The reversal of 203420506800 is 8605024302.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 290374 + ... + 700826.

It is an arithmetic number, because the mean of its divisors is an integer number (3155570352).

Almost surely, 2^203420506800 is an apocalyptic number.

203420506800 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 203420506800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378668442240).

203420506800 is an abundant number, since it is smaller than the sum of its proper divisors (553916377680).

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

203420506800 is a wasteful number, since it uses less digits than its factorization.

203420506800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410540 (or 410529 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 203420506800 in words is "two hundred three billion, four hundred twenty million, five hundred six thousand, eight hundred".