272964840 has 128 divisors (see below), whose sum is σ = 842607360. Its totient is φ = 70713344.

The previous prime is 272964803. The next prime is 272964847. The reversal of 272964840 is 48469272.

It is a junction number, because it is equal to n+sod(n) for n = 272964792 and 272964801.

It is not an unprimeable number, because it can be changed into a prime (272964847) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1061992 + ... + 1062248.

It is an arithmetic number, because the mean of its divisors is an integer number (6582870).

Almost surely, 2^272964840 is an apocalyptic number.

272964840 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 272964840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421303680).

272964840 is an abundant number, since it is smaller than the sum of its proper divisors (569642520).

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

272964840 is a wasteful number, since it uses less digits than its factorization.

272964840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 272964840 is about 16521.6476175955. The cubic root of 272964840 is about 648.6875608619.

The spelling of 272964840 in words is "two hundred seventy-two million, nine hundred sixty-four thousand, eight hundred forty".