540313000 has 64 divisors (see below), whose sum is σ = 1276189200. Its totient is φ = 214099200.

The previous prime is 540312979. The next prime is 540313001. The reversal of 540313000 is 313045.

It can be written as a sum of positive squares in 8 ways, for example, as 112402404 + 427910596 = 10602^2 + 20686^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540313001) 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, 106522 + ... + 111478.

Almost surely, 2^540313000 is an apocalyptic number.

540313000 is a gapful number since it is divisible by the number (50) 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 540313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638094600).

540313000 is an abundant number, since it is smaller than the sum of its proper divisors (735876200).

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

540313000 is a wasteful number, since it uses less digits than its factorization.

540313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5087 (or 5073 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 540313000 is about 23244.6337893287. The cubic root of 540313000 is about 814.4825902772.

Adding to 540313000 its reverse (313045), we get a palindrome (540626045).

The spelling of 540313000 in words is "five hundred forty million, three hundred thirteen thousand".