540054312 has 128 divisors (see below), whose sum is σ = 1587548160. Its totient is φ = 149909760.

The previous prime is 540054311. The next prime is 540054313. The reversal of 540054312 is 213450045.

It is an interprime number because it is at equal distance from previous prime (540054311) and next prime (540054313).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (540054311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1166193 + ... + 1166655.

It is an arithmetic number, because the mean of its divisors is an integer number (12402720).

Almost surely, 2^540054312 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 540054312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793774080).

540054312 is an abundant number, since it is smaller than the sum of its proper divisors (1047493848).

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

540054312 is a wasteful number, since it uses less digits than its factorization.

540054312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 540054312 is about 23239.0686560370. The cubic root of 540054312 is about 814.3525850724.

The spelling of 540054312 in words is "five hundred forty million, fifty-four thousand, three hundred twelve".