273479440 has 80 divisors (see below), whose sum is σ = 687456000. Its totient is φ = 100578816.

The previous prime is 273479431. The next prime is 273479443. The reversal of 273479440 is 44974372.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 273479393 and 273479402.

It is not an unprimeable number, because it can be changed into a prime (273479443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 456261 + ... + 456859.

It is an arithmetic number, because the mean of its divisors is an integer number (8593200).

Almost surely, 2^273479440 is an apocalyptic number.

273479440 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 273479440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343728000).

273479440 is an abundant number, since it is smaller than the sum of its proper divisors (413976560).

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

273479440 is a wasteful number, since it uses less digits than its factorization.

273479440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 40.

The square root of 273479440 is about 16537.2137919300. The cubic root of 273479440 is about 649.0949455229.

The spelling of 273479440 in words is "two hundred seventy-three million, four hundred seventy-nine thousand, four hundred forty".