540602496 has 288 divisors, whose sum is σ = 1851003180. Its totient is φ = 150958080.

The previous prime is 540602441. The next prime is 540602519. The reversal of 540602496 is 694206045.

540602496 is a `hidden beast` number, since 5 + 4 + 0 + 602 + 49 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 455224896 + 85377600 = 21336^2 + 9240^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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 540602496.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3443250 + ... + 3443406.

Almost surely, 2^540602496 is an apocalyptic number.

540602496 is a gapful number since it is divisible by the number (56) 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 540602496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925501590).

540602496 is an abundant number, since it is smaller than the sum of its proper divisors (1310400684).

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

540602496 is a wasteful number, since it uses less digits than its factorization.

540602496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 540602496 is about 23250.8601131227. The cubic root of 540602496 is about 814.6280290340.

The spelling of 540602496 in words is "five hundred forty million, six hundred two thousand, four hundred ninety-six".