540608256 has 270 divisors, whose sum is σ = 1723353632. Its totient is φ = 168376320.

The previous prime is 540608251. The next prime is 540608267. The reversal of 540608256 is 652806045.

540608256 is a `hidden beast` number, since 5 + 40 + 608 + 2 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 540608256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540608251) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 17438961 + ... + 17438991.

Almost surely, 2^540608256 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 540608256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861676816).

540608256 is an abundant number, since it is smaller than the sum of its proper divisors (1182745376).

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

540608256 is an equidigital number, since it uses as much as digits as its factorization.

540608256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 540608256 is about 23250.9839791782. The cubic root of 540608256 is about 814.6309222509.

The spelling of 540608256 in words is "five hundred forty million, six hundred eight thousand, two hundred fifty-six".