273630400 has 84 divisors (see below), whose sum is σ = 708817480. Its totient is φ = 103680000.

The previous prime is 273630391. The next prime is 273630403. The reversal of 273630400 is 4036372.

273630400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (273630403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25900 + ... + 34900.

Almost surely, 2^273630400 is an apocalyptic number.

273630400 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 273630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354408740).

273630400 is an abundant number, since it is smaller than the sum of its proper divisors (435187080).

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

273630400 is a wasteful number, since it uses less digits than its factorization.

273630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9042 (or 9027 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 25.

The square root of 273630400 is about 16541.7774135671. Note that the first 3 decimals coincide. The cubic root of 273630400 is about 649.2143565091.

Adding to 273630400 its reverse (4036372), we get a palindrome (277666772).

It can be divided in two parts, 2736 and 30400, that multiplied together give a square (83174400 = 9120²).

The spelling of 273630400 in words is "two hundred seventy-three million, six hundred thirty thousand, four hundred".