540478800 has 360 divisors, whose sum is σ = 2014871040. Its totient is φ = 133862400.

The previous prime is 540478723. The next prime is 540478847. The reversal of 540478800 is 8874045.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 3236317 + ... + 3236483.

It is an arithmetic number, because the mean of its divisors is an integer number (5596864).

Almost surely, 2^540478800 is an apocalyptic number.

540478800 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 540478800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007435520).

540478800 is an abundant number, since it is smaller than the sum of its proper divisors (1474392240).

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

540478800 is a wasteful number, since it uses less digits than its factorization.

540478800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 540478800 is about 23248.1999303172. The cubic root of 540478800 is about 814.5658922417.

The spelling of 540478800 in words is "five hundred forty million, four hundred seventy-eight thousand, eight hundred".