540441600 has 264 divisors, whose sum is σ = 1851929088. Its totient is φ = 138854400.

The previous prime is 540441599. The next prime is 540441617. The reversal of 540441600 is 6144045.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2380687 + ... + 2380913.

Almost surely, 2^540441600 is an apocalyptic number.

540441600 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 540441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925964544).

540441600 is an abundant number, since it is smaller than the sum of its proper divisors (1311487488).

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

540441600 is a wasteful number, since it uses less digits than its factorization.

540441600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 268 counting only the distinct ones).

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

The square root of 540441600 is about 23247.3998546074. The cubic root of 540441600 is about 814.5472035368.

Adding to 540441600 its reverse (6144045), we get a palindrome (546585645).

The spelling of 540441600 in words is "five hundred forty million, four hundred forty-one thousand, six hundred".