540185436 has 240 divisors, whose sum is σ = 1717309440. Its totient is φ = 144789120.

The previous prime is 540185389. The next prime is 540185449. The reversal of 540185436 is 634581045.

It is a happy number.

540185436 is a `hidden beast` number, since 5 + 40 + 185 + 436 = 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 540185436.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2828101 + ... + 2828291.

It is an arithmetic number, because the mean of its divisors is an integer number (7155456).

Almost surely, 2^540185436 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 540185436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858654720).

540185436 is an abundant number, since it is smaller than the sum of its proper divisors (1177124004).

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

540185436 is a wasteful number, since it uses less digits than its factorization.

540185436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 275 counting only the distinct ones).

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

The square root of 540185436 is about 23241.8896822096. The cubic root of 540185436 is about 814.4184874117.

The spelling of 540185436 in words is "five hundred forty million, one hundred eighty-five thousand, four hundred thirty-six".