201493254400 has 243 divisors, whose sum is σ = 518197112559. Its totient is φ = 77566464000.

The previous prime is 201493254397. The next prime is 201493254449. The reversal of 201493254400 is 4452394102.

The square root of 201493254400 is 448880.

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 108141007104 + 93352247296 = 328848^2 + 305536^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1113222310 + ... + 1113222490.

Almost surely, 2^201493254400 is an apocalyptic number.

201493254400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

201493254400 is the 448880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201493254400

201493254400 is an abundant number, since it is smaller than the sum of its proper divisors (316703858159).

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

201493254400 is an frugal number, since it uses more digits than its factorization.

201493254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 201493254400 in words is "two hundred one billion, four hundred ninety-three million, two hundred fifty-four thousand, four hundred".