540504000 has 168 divisors, whose sum is σ = 1933730448. Its totient is φ = 144115200.

The previous prime is 540503993. The next prime is 540504007. The reversal of 540504000 is 405045.

It is a happy number.

540504000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (540503993) and next prime (540504007).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540504007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68247 + ... + 75753.

Almost surely, 2^540504000 is an apocalyptic number.

540504000 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 540504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966865224).

540504000 is an abundant number, since it is smaller than the sum of its proper divisors (1393226448).

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

540504000 is a wasteful number, since it uses less digits than its factorization.

540504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7540 (or 7517 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 540504000 is about 23248.7419014449. The cubic root of 540504000 is about 814.5785518449.

Adding to 540504000 its reverse (405045), we get a palindrome (540909045).

The spelling of 540504000 in words is "five hundred forty million, five hundred four thousand".