202968270400 has 189 divisors, whose sum is σ = 581329494819. Its totient is φ = 69545871360.

The previous prime is 202968270389. The next prime is 202968270403. The reversal of 202968270400 is 4072869202.

The square root of 202968270400 is 450520.

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 45594206784 + 157374063616 = 213528^2 + 396704^2 .

It is a super-2 number, since 2×202968270400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (202968270403) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 126144796 + ... + 126146404.

Almost surely, 2^202968270400 is an apocalyptic number.

202968270400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

202968270400 is the 450520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202968270400

202968270400 is an abundant number, since it is smaller than the sum of its proper divisors (378361224419).

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

202968270400 is an frugal number, since it uses more digits than its factorization.

202968270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3254 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 202968270400 in words is "two hundred two billion, nine hundred sixty-eight million, two hundred seventy thousand, four hundred".