273968352 has 192 divisors, whose sum is σ = 924618240. Its totient is φ = 77303808.

The previous prime is 273968333. The next prime is 273968363. The reversal of 273968352 is 253869372.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (544320) is a multiple of the sum of its prime divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 273968298 and 273968307.

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 31 ways as a sum of consecutive naturals, for example, 586423 + ... + 586889.

It is an arithmetic number, because the mean of its divisors is an integer number (4815720).

Almost surely, 2^273968352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 273968352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462309120).

273968352 is an abundant number, since it is smaller than the sum of its proper divisors (650649888).

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

273968352 is a wasteful number, since it uses less digits than its factorization.

273968352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 576 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 273968352 is about 16551.9893668405. The cubic root of 273968352 is about 649.4815210569.

The spelling of 273968352 in words is "two hundred seventy-three million, nine hundred sixty-eight thousand, three hundred fifty-two".