273000240 has 160 divisors (see below), whose sum is σ = 946368000. Its totient is φ = 72334080.

The previous prime is 273000209. The next prime is 273000241. The reversal of 273000240 is 42000372.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (273000241) 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 31 ways as a sum of consecutive naturals, for example, 455461 + ... + 456059.

It is an arithmetic number, because the mean of its divisors is an integer number (5914800).

Almost surely, 2^273000240 is an apocalyptic number.

273000240 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 273000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473184000).

273000240 is an abundant number, since it is smaller than the sum of its proper divisors (673367760).

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

273000240 is a wasteful number, since it uses less digits than its factorization.

273000240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 273000240 is about 16522.7189045871. The cubic root of 273000240 is about 648.7156017713.

The spelling of 273000240 in words is "two hundred seventy-three million, two hundred forty", and thus it is an aban number.