540316224 has 224 divisors, whose sum is σ = 1911705600. Its totient is φ = 146188800.

The previous prime is 540316211. The next prime is 540316229. The reversal of 540316224 is 422613045.

540316224 is a `hidden beast` number, since 5 + 4 + 0 + 31 + 622 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540316229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228649 + ... + 230999.

It is an arithmetic number, because the mean of its divisors is an integer number (8534400).

Almost surely, 2^540316224 is an apocalyptic number.

540316224 is a gapful number since it is divisible by the number (54) 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 540316224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955852800).

540316224 is an abundant number, since it is smaller than the sum of its proper divisors (1371389376).

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

540316224 is a wasteful number, since it uses less digits than its factorization.

540316224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2398 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 540316224 is about 23244.7031385647. The cubic root of 540316224 is about 814.4842102559.

Adding to 540316224 its reverse (422613045), we get a palindrome (962929269).

The spelling of 540316224 in words is "five hundred forty million, three hundred sixteen thousand, two hundred twenty-four".