540405600 has 288 divisors, whose sum is σ = 2117364480. Its totient is φ = 116951040.

The previous prime is 540405599. The next prime is 540405601. The reversal of 540405600 is 6504045.

It is an interprime number because it is at equal distance from previous prime (540405599) and next prime (540405601).

It is a super-2 number, since 2×540405600² = 584076425022720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540405601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 318354 + ... + 320046.

It is an arithmetic number, because the mean of its divisors is an integer number (7351960).

Almost surely, 2^540405600 is an apocalyptic number.

540405600 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 540405600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058682240).

540405600 is an abundant number, since it is smaller than the sum of its proper divisors (1576958880).

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

540405600 is a wasteful number, since it uses less digits than its factorization.

540405600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1742 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 540405600 is about 23246.6255615734. The cubic root of 540405600 is about 814.5291168767.

Adding to 540405600 its reverse (6504045), we get a palindrome (546909645).

The spelling of 540405600 in words is "five hundred forty million, four hundred five thousand, six hundred".