272979840 has 256 divisors, whose sum is σ = 1047744000. Its totient is φ = 59056128.

The previous prime is 272979827. The next prime is 272979851. The reversal of 272979840 is 48979272.

272979840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 272979840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254826 + ... + 255894.

It is an arithmetic number, because the mean of its divisors is an integer number (4092750).

Almost surely, 2^272979840 is an apocalyptic number.

272979840 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 272979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523872000).

272979840 is an abundant number, since it is smaller than the sum of its proper divisors (774764160).

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

272979840 is a wasteful number, since it uses less digits than its factorization.

272979840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 272979840 is about 16522.1015612421. The cubic root of 272979840 is about 648.6994428992.

The spelling of 272979840 in words is "two hundred seventy-two million, nine hundred seventy-nine thousand, eight hundred forty".