540406440 has 192 divisors, whose sum is σ = 2023781760. Its totient is φ = 122503680.

The previous prime is 540406439. The next prime is 540406457. The reversal of 540406440 is 44604045.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 329302 + ... + 330938.

It is an arithmetic number, because the mean of its divisors is an integer number (10540530).

Almost surely, 2^540406440 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 540406440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011890880).

540406440 is an abundant number, since it is smaller than the sum of its proper divisors (1483375320).

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

540406440 is a wasteful number, since it uses less digits than its factorization.

540406440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 540406440 is about 23246.6436287048. The cubic root of 540406440 is about 814.5295389079.

The spelling of 540406440 in words is "five hundred forty million, four hundred six thousand, four hundred forty".