540611456 has 64 divisors (see below), whose sum is σ = 1342776960. Its totient is φ = 210624000.

The previous prime is 540611447. The next prime is 540611459. The reversal of 540611456 is 654116045.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540611459) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17570 + ... + 37281.

It is an arithmetic number, because the mean of its divisors is an integer number (20980890).

Almost surely, 2^540611456 is an apocalyptic number.

540611456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

540611456 is an abundant number, since it is smaller than the sum of its proper divisors (802165504).

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

540611456 is a wasteful number, since it uses less digits than its factorization.

540611456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54883 (or 54871 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 540611456 is about 23251.0527933683. The cubic root of 540611456 is about 814.6325295847.

The spelling of 540611456 in words is "five hundred forty million, six hundred eleven thousand, four hundred fifty-six".