273443040 has 288 divisors, whose sum is σ = 1044048096. Its totient is φ = 67184640.

The previous prime is 273443029. The next prime is 273443047. The reversal of 273443040 is 40344372.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×273443040² = 149542192248883200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 273442995 and 273443013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (273443047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 505170 + ... + 505710.

It is an arithmetic number, because the mean of its divisors is an integer number (3625167).

Almost surely, 2^273443040 is an apocalyptic number.

273443040 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 273443040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522024048).

273443040 is an abundant number, since it is smaller than the sum of its proper divisors (770605056).

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

273443040 is a wasteful number, since it uses less digits than its factorization.

273443040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 273443040 is about 16536.1132071597. The cubic root of 273443040 is about 649.0661461559.

The spelling of 273443040 in words is "two hundred seventy-three million, four hundred forty-three thousand, forty".