273438720 has 384 divisors, whose sum is σ = 1037836800. Its totient is φ = 68124672.

The previous prime is 273438719. The next prime is 273438721. The reversal of 273438720 is 27834372.

273438720 is a `hidden beast` number, since 273 + 4 + 387 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (273438719) and next prime (273438721).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (273438721) 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, 6359019 + ... + 6359061.

It is an arithmetic number, because the mean of its divisors is an integer number (2702700).

Almost surely, 2^273438720 is an apocalyptic number.

273438720 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 273438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518918400).

273438720 is an abundant number, since it is smaller than the sum of its proper divisors (764398080).

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

273438720 is a wasteful number, since it uses less digits than its factorization.

273438720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 273438720 is about 16535.9825834451. The cubic root of 273438720 is about 649.0627280393.

It can be divided in two parts, 27343 and 8720, that added together give a palindrome (36063).

The spelling of 273438720 in words is "two hundred seventy-three million, four hundred thirty-eight thousand, seven hundred twenty".