540578040 has 128 divisors (see below), whose sum is σ = 1658880000. Its totient is φ = 140894208.

The previous prime is 540578021. The next prime is 540578081. The reversal of 540578040 is 40875045.

It is a junction number, because it is equal to n+sod(n) for n = 540577992 and 540578010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1203736 + ... + 1204184.

It is an arithmetic number, because the mean of its divisors is an integer number (12960000).

Almost surely, 2^540578040 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 540578040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829440000).

540578040 is an abundant number, since it is smaller than the sum of its proper divisors (1118301960).

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

540578040 is a wasteful number, since it uses less digits than its factorization.

540578040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 540578040 is about 23250.3341911466. The cubic root of 540578040 is about 814.6157446885.

The spelling of 540578040 in words is "five hundred forty million, five hundred seventy-eight thousand, forty".