540086400 has 768 divisors, whose sum is σ = 2428416000. Its totient is φ = 114462720.

The previous prime is 540086383. The next prime is 540086429. The reversal of 540086400 is 4680045.

540086400 is a `hidden beast` number, since 540 + 0 + 86 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11491177 + ... + 11491223.

It is an arithmetic number, because the mean of its divisors is an integer number (3162000).

Almost surely, 2^540086400 is an apocalyptic number.

540086400 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 540086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214208000).

540086400 is an abundant number, since it is smaller than the sum of its proper divisors (1888329600).

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

540086400 is a wasteful number, since it uses less digits than its factorization.

540086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 540086400 is about 23239.7590348953. The cubic root of 540086400 is about 814.3687133442.

It can be divided in two parts, 5400 and 86400, that multiplied together give a square (466560000 = 21600²).

The spelling of 540086400 in words is "five hundred forty million, eighty-six thousand, four hundred".