203238672400 has 45 divisors (see below), whose sum is σ = 488302573303. Its totient is φ = 81291862400.

The previous prime is 203238672397. The next prime is 203238672443. The reversal of 203238672400 is 4276832302.

The square root of 203238672400 is 450820.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6017415184 + 197221257216 = 77572^2 + 444096^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 203238672400.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9005130 + ... + 9027670.

Almost surely, 2^203238672400 is an apocalyptic number.

203238672400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

203238672400 is the 450820-th square number.

It is an amenable number.

203238672400 is an abundant number, since it is smaller than the sum of its proper divisors (285063900903).

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

203238672400 is an frugal number, since it uses more digits than its factorization.

203238672400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45100 (or 22548 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

The spelling of 203238672400 in words is "two hundred three billion, two hundred thirty-eight million, six hundred seventy-two thousand, four hundred".