540400000 has 192 divisors, whose sum is σ = 1545838560. Its totient is φ = 184320000.

The previous prime is 540399989. The next prime is 540400009. The reversal of 540400000 is 4045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540400009) 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 23 ways as a sum of consecutive naturals, for example, 2799904 + ... + 2800096.

Almost surely, 2^540400000 is an apocalyptic number.

540400000 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 540400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772919280).

540400000 is an abundant number, since it is smaller than the sum of its proper divisors (1005438560).

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

540400000 is an frugal number, since it uses more digits than its factorization.

540400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 540400000 is about 23246.5051136725. The cubic root of 540400000 is about 814.5263033241.

Adding to 540400000 its reverse (4045), we get a palindrome (540404045).

It can be divided in two parts, 540 and 400000, that multiplied together give a cube (216000000 = 600³).

The spelling of 540400000 in words is "five hundred forty million, four hundred thousand".