272430480 has 160 divisors (see below), whose sum is σ = 996507648. Its totient is φ = 60249600.

The previous prime is 272430467. The next prime is 272430481. The reversal of 272430480 is 84034272.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (272430481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49465 + ... + 54695.

Almost surely, 2^272430480 is an apocalyptic number.

272430480 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 272430480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498253824).

272430480 is an abundant number, since it is smaller than the sum of its proper divisors (724077168).

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

272430480 is a wasteful number, since it uses less digits than its factorization.

272430480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5285 (or 5279 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 272430480 is about 16505.4681848168. The cubic root of 272430480 is about 648.2639908979.

The spelling of 272430480 in words is "two hundred seventy-two million, four hundred thirty thousand, four hundred eighty".