273222400 has 108 divisors (see below), whose sum is σ = 737937144. Its totient is φ = 99328000.

The previous prime is 273222379. The next prime is 273222407. The reversal of 273222400 is 4222372.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (273222407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68460 + ... + 72340.

Almost surely, 2^273222400 is an apocalyptic number.

273222400 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 273222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368968572).

273222400 is an abundant number, since it is smaller than the sum of its proper divisors (464714744).

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

273222400 is a wasteful number, since it uses less digits than its factorization.

273222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3918 (or 3899 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 273222400 is about 16529.4404019011. The cubic root of 273222400 is about 648.8915229628.

Adding to 273222400 its reverse (4222372), we get a palindrome (277444772).

The spelling of 273222400 in words is "two hundred seventy-three million, two hundred twenty-two thousand, four hundred".