273282240 has 224 divisors, whose sum is σ = 1082064384. Its totient is φ = 56770560.

The previous prime is 273282239. The next prime is 273282281. The reversal of 273282240 is 42282372.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 273282198 and 273282207.

It is a congruent number.

It is an unprimeable number.

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, 72072 + ... + 75768.

Almost surely, 2^273282240 is an apocalyptic number.

273282240 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 273282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541032192).

273282240 is an abundant number, since it is smaller than the sum of its proper divisors (808782144).

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

273282240 is a wasteful number, since it uses less digits than its factorization.

273282240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3735 (or 3725 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 273282240 is about 16531.2504064272. The cubic root of 273282240 is about 648.9388919857.

The spelling of 273282240 in words is "two hundred seventy-three million, two hundred eighty-two thousand, two hundred forty".