272004480 has 448 divisors, whose sum is σ = 1083643920. Its totient is φ = 64696320.

The previous prime is 272004451. The next prime is 272004493. The reversal of 272004480 is 84400272.

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

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 55 ways as a sum of consecutive naturals, for example, 5132134 + ... + 5132186.

Almost surely, 2^272004480 is an apocalyptic number.

272004480 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 272004480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541821960).

272004480 is an abundant number, since it is smaller than the sum of its proper divisors (811639440).

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

272004480 is an equidigital number, since it uses as much as digits as its factorization.

272004480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 272004480 is about 16492.5583218614. The cubic root of 272004480 is about 647.9259174568.

It can be divided in two parts, 272004 and 480, that added together give a square (272484 = 522²).

The spelling of 272004480 in words is "two hundred seventy-two million, four thousand, four hundred eighty".