272980944 has 120 divisors (see below), whose sum is σ = 797940000. Its totient is φ = 87010560.

The previous prime is 272980943. The next prime is 272980949. The reversal of 272980944 is 449089272.

It is a super-2 number, since 2×272980944² = 149037191574262272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 272980944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272980943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 546807 + ... + 547305.

It is an arithmetic number, because the mean of its divisors is an integer number (6649500).

Almost surely, 2^272980944 is an apocalyptic number.

272980944 is a gapful number since it is divisible by the number (24) 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 272980944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398970000).

272980944 is an abundant number, since it is smaller than the sum of its proper divisors (524959056).

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

272980944 is a wasteful number, since it uses less digits than its factorization.

272980944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 272980944 is about 16522.1349710018. The cubic root of 272980944 is about 648.7003173999.

The spelling of 272980944 in words is "two hundred seventy-two million, nine hundred eighty thousand, nine hundred forty-four".