540407712 has 96 divisors (see below), whose sum is σ = 1537135488. Its totient is φ = 165252096.

The previous prime is 540407689. The next prime is 540407743. The reversal of 540407712 is 217704045.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 540407712.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214653 + ... + 217155.

It is an arithmetic number, because the mean of its divisors is an integer number (16011828).

Almost surely, 2^540407712 is an apocalyptic number.

540407712 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540407712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768567744).

540407712 is an abundant number, since it is smaller than the sum of its proper divisors (996727776).

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

540407712 is a wasteful number, since it uses less digits than its factorization.

540407712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2702 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 540407712 is about 23246.6709874769. The cubic root of 540407712 is about 814.5301779830.

The spelling of 540407712 in words is "five hundred forty million, four hundred seven thousand, seven hundred twelve".