540471264 has 96 divisors (see below), whose sum is σ = 1501920000. Its totient is φ = 169703424.

The previous prime is 540471251. The next prime is 540471287. The reversal of 540471264 is 462174045.

540471264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 362232 + ... + 363720.

It is an arithmetic number, because the mean of its divisors is an integer number (15645000).

Almost surely, 2^540471264 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 540471264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750960000).

540471264 is an abundant number, since it is smaller than the sum of its proper divisors (961448736).

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

540471264 is a wasteful number, since it uses less digits than its factorization.

540471264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720 (or 1712 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 540471264 is about 23248.0378526877. The cubic root of 540471264 is about 814.5621063410.

The spelling of 540471264 in words is "five hundred forty million, four hundred seventy-one thousand, two hundred sixty-four".