273405132 has 288 divisors, whose sum is σ = 965712384. Its totient is φ = 65318400.

The previous prime is 273405109. The next prime is 273405133. The reversal of 273405132 is 231504372.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 273405096 and 273405105.

It is not an unprimeable number, because it can be changed into a prime (273405133) 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 95 ways as a sum of consecutive naturals, for example, 972832 + ... + 973112.

It is an arithmetic number, because the mean of its divisors is an integer number (3353168).

Almost surely, 2^273405132 is an apocalyptic number.

273405132 is a gapful number since it is divisible by the number (22) 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 273405132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482856192).

273405132 is an abundant number, since it is smaller than the sum of its proper divisors (692307252).

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

273405132 is a wasteful number, since it uses less digits than its factorization.

273405132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 273405132 is about 16534.9669488632. The cubic root of 273405132 is about 649.0361509552.

The spelling of 273405132 in words is "two hundred seventy-three million, four hundred five thousand, one hundred thirty-two".