540414600 has 192 divisors, whose sum is σ = 1877826240. Its totient is φ = 127411200.

The previous prime is 540414593. The next prime is 540414607. The reversal of 540414600 is 6414045.

It is an interprime number because it is at equal distance from previous prime (540414593) and next prime (540414607).

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

It is not an unprimeable number, because it can be changed into a prime (540414607) 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, 243094 + ... + 245306.

It is an arithmetic number, because the mean of its divisors is an integer number (9780345).

Almost surely, 2^540414600 is an apocalyptic number.

540414600 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 540414600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938913120).

540414600 is an abundant number, since it is smaller than the sum of its proper divisors (1337411640).

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

540414600 is a wasteful number, since it uses less digits than its factorization.

540414600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280 (or 2271 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 540414600 is about 23246.8191372497. The cubic root of 540414600 is about 814.5336386170.

Adding to 540414600 its reverse (6414045), we get a palindrome (546828645).

The spelling of 540414600 in words is "five hundred forty million, four hundred fourteen thousand, six hundred".