540313400 has 144 divisors (see below), whose sum is σ = 1402644600. Its totient is φ = 193388800.

The previous prime is 540313399. The next prime is 540313409. The reversal of 540313400 is 4313045.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540313409) 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 35 ways as a sum of consecutive naturals, for example, 2008466 + ... + 2008734.

Almost surely, 2^540313400 is an apocalyptic number.

540313400 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 540313400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701322300).

540313400 is an abundant number, since it is smaller than the sum of its proper divisors (862331200).

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

540313400 is a wasteful number, since it uses less digits than its factorization.

540313400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 540313400 is about 23244.6423934635. The cubic root of 540313400 is about 814.4827912675.

Adding to 540313400 its reverse (4313045), we get a palindrome (544626445).

The spelling of 540313400 in words is "five hundred forty million, three hundred thirteen thousand, four hundred".