273549920400 has 405 divisors, whose sum is σ = 994987657209. Its totient is φ = 69590949120.

The previous prime is 273549920381. The next prime is 273549920401. The reversal of 273549920400 is 4029945372.

The square root of 273549920400 is 523020.

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

273549920400 is a `hidden beast` number, since 2 + 7 + 354 + 99 + 204 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 98477971344 + 175071949056 = 313812^2 + 418416^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (273549920401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 721767411 + ... + 721767789.

Almost surely, 2^273549920400 is an apocalyptic number.

273549920400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

273549920400 is the 523020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 273549920400

273549920400 is an abundant number, since it is smaller than the sum of its proper divisors (721437736809).

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

273549920400 is a wasteful number, since it uses less digits than its factorization.

273549920400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 273549920400 in words is "two hundred seventy-three billion, five hundred forty-nine million, nine hundred twenty thousand, four hundred".