273842880 has 112 divisors (see below), whose sum is σ = 877763040. Its totient is φ = 72327168.

The previous prime is 273842873. The next prime is 273842887. The reversal of 273842880 is 88248372.

It is an interprime number because it is at equal distance from previous prime (273842873) and next prime (273842887).

It is a super-4 number, since 4×273842880⁴ (a number of 35 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (273842887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103332 + ... + 105948.

It is an arithmetic number, because the mean of its divisors is an integer number (7837170).

Almost surely, 2^273842880 is an apocalyptic number.

273842880 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 273842880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438881520).

273842880 is an abundant number, since it is smaller than the sum of its proper divisors (603920160).

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

273842880 is a wasteful number, since it uses less digits than its factorization.

273842880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2746 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 273842880 is about 16548.1986935134. The cubic root of 273842880 is about 649.3823560882.

The spelling of 273842880 in words is "two hundred seventy-three million, eight hundred forty-two thousand, eight hundred eighty".