273104400 has 120 divisors (see below), whose sum is σ = 898634944. Its totient is φ = 70848000.

The previous prime is 273104399. The next prime is 273104401. The reversal of 273104400 is 4401372.

It is an interprime number because it is at equal distance from previous prime (273104399) and next prime (273104401).

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (273104401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41325 + ... + 47475.

Almost surely, 2^273104400 is an apocalyptic number.

273104400 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 273104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449317472).

273104400 is an abundant number, since it is smaller than the sum of its proper divisors (625530544).

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

273104400 is a wasteful number, since it uses less digits than its factorization.

273104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6209 (or 6198 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 273104400 is about 16525.8706275948. The cubic root of 273104400 is about 648.7980945259.

Adding to 273104400 its reverse (4401372), we get a palindrome (277505772).

The spelling of 273104400 in words is "two hundred seventy-three million, one hundred four thousand, four hundred".