540793344 has 320 divisors, whose sum is σ = 1831382784. Its totient is φ = 138018816.

The previous prime is 540793343. The next prime is 540793349. The reversal of 540793344 is 443397045.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (540793343) 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 31 ways as a sum of consecutive naturals, for example, 7408092 + ... + 7408164.

Almost surely, 2^540793344 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 540793344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915691392).

540793344 is an abundant number, since it is smaller than the sum of its proper divisors (1290589440).

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

540793344 is a wasteful number, since it uses less digits than its factorization.

540793344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The square root of 540793344 is about 23254.9638572069. The cubic root of 540793344 is about 814.7238800149.

The spelling of 540793344 in words is "five hundred forty million, seven hundred ninety-three thousand, three hundred forty-four".