273253440 has 224 divisors, whose sum is σ = 930493440. Its totient is φ = 67737600.

The previous prime is 273253429. The next prime is 273253447. The reversal of 273253440 is 44352372.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 273253398 and 273253407.

It is not an unprimeable number, because it can be changed into a prime (273253447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1294935 + ... + 1295145.

Almost surely, 2^273253440 is an apocalyptic number.

273253440 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 273253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465246720).

273253440 is an abundant number, since it is smaller than the sum of its proper divisors (657240000).

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

273253440 is a wasteful number, since it uses less digits than its factorization.

273253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 30.

The square root of 273253440 is about 16530.3793059930. The cubic root of 273253440 is about 648.9160949235.

The spelling of 273253440 in words is "two hundred seventy-three million, two hundred fifty-three thousand, four hundred forty".