540483840 has 360 divisors, whose sum is σ = 2087909208. Its totient is φ = 132710400.

The previous prime is 540483833. The next prime is 540483863. The reversal of 540483840 is 48384045.

540483840 is a `hidden beast` number, since 540 + 48 + 38 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 110502144 + 429981696 = 10512^2 + 20736^2 .

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

It is a super-2 number, since 2×540483840² = 584245562602291200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 540483795 and 540483804.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1347640 + ... + 1348040.

Almost surely, 2^540483840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540483840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043954604).

540483840 is an abundant number, since it is smaller than the sum of its proper divisors (1547425368).

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

540483840 is a wasteful number, since it uses less digits than its factorization.

540483840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 540483840 is about 23248.3083255535. The cubic root of 540483840 is about 814.5684241938.

The spelling of 540483840 in words is "five hundred forty million, four hundred eighty-three thousand, eight hundred forty".