272948940 has 360 divisors, whose sum is σ = 1010992752. Its totient is φ = 61102080.

The previous prime is 272948939. The next prime is 272948947. The reversal of 272948940 is 49849272.

It is a super-2 number, since 2×272948940² = 149002247694247200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (272948947) 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 119 ways as a sum of consecutive naturals, for example, 5149954 + ... + 5150006.

Almost surely, 2^272948940 is an apocalyptic number.

272948940 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 272948940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505496376).

272948940 is an abundant number, since it is smaller than the sum of its proper divisors (738043812).

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

272948940 is a wasteful number, since it uses less digits than its factorization.

272948940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 91 counting only the distinct ones).

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

The square root of 272948940 is about 16521.1664237123. The cubic root of 272948940 is about 648.6749654272.

The spelling of 272948940 in words is "two hundred seventy-two million, nine hundred forty-eight thousand, nine hundred forty".