540647424 has 84 divisors (see below), whose sum is σ = 1561987986. Its totient is φ = 180191232.

The previous prime is 540647411. The next prime is 540647449. The reversal of 540647424 is 424746045.

540647424 is a `hidden beast` number, since 5 + 4 + 0 + 647 + 4 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 539725824 + 921600 = 23232^2 + 960^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70062 + ... + 77394.

Almost surely, 2^540647424 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 540647424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780993993).

540647424 is an abundant number, since it is smaller than the sum of its proper divisors (1021340562).

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

540647424 is an equidigital number, since it uses as much as digits as its factorization.

540647424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7365 (or 7338 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 540647424 is about 23251.8262508561. The cubic root of 540647424 is about 814.6505955806.

The spelling of 540647424 in words is "five hundred forty million, six hundred forty-seven thousand, four hundred twenty-four".