272844480 has 112 divisors (see below), whose sum is σ = 878701824. Its totient is φ = 71715840.

The previous prime is 272844457. The next prime is 272844487. The reversal of 272844480 is 84448272.

It is a super-3 number, since 3×272844480³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (272844487) 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, 66159 + ... + 70161.

It is an arithmetic number, because the mean of its divisors is an integer number (7845552).

Almost surely, 2^272844480 is an apocalyptic number.

272844480 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 272844480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439350912).

272844480 is an abundant number, since it is smaller than the sum of its proper divisors (605857344).

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

272844480 is a wasteful number, since it uses less digits than its factorization.

272844480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4094 (or 4084 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 39.

The square root of 272844480 is about 16518.0047221206. The cubic root of 272844480 is about 648.5922036319.

The spelling of 272844480 in words is "two hundred seventy-two million, eight hundred forty-four thousand, four hundred eighty".