273382416 has 120 divisors (see below), whose sum is σ = 804323520. Its totient is φ = 86515968.

The previous prime is 273382411. The next prime is 273382453. The reversal of 273382416 is 614283372.

It is a happy number.

273382416 is a `hidden beast` number, since 273 + 382 + 4 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (273382411) 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 23 ways as a sum of consecutive naturals, for example, 652255 + ... + 652673.

It is an arithmetic number, because the mean of its divisors is an integer number (6702696).

Almost surely, 2^273382416 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 273382416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402161760).

273382416 is an abundant number, since it is smaller than the sum of its proper divisors (530941104).

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

273382416 is a wasteful number, since it uses less digits than its factorization.

273382416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 644 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 273382416 is about 16534.2800266598. The cubic root of 273382416 is about 649.0181752946.

The spelling of 273382416 in words is "two hundred seventy-three million, three hundred eighty-two thousand, four hundred sixteen".