273948400 has 120 divisors (see below), whose sum is σ = 749487744. Its totient is φ = 95251200.

The previous prime is 273948391. The next prime is 273948431. The reversal of 273948400 is 4849372.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 273948400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99847 + ... + 102553.

Almost surely, 2^273948400 is an apocalyptic number.

273948400 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 273948400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374743872).

273948400 is an abundant number, since it is smaller than the sum of its proper divisors (475539344).

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

273948400 is a wasteful number, since it uses less digits than its factorization.

273948400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 273948400 is about 16551.3866488582. The cubic root of 273948400 is about 649.4657543089.

The spelling of 273948400 in words is "two hundred seventy-three million, nine hundred forty-eight thousand, four hundred".