540263872 has 56 divisors (see below), whose sum is σ = 1100425536. Its totient is φ = 263052288.

The previous prime is 540263869. The next prime is 540263887. The reversal of 540263872 is 278362045.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 881038 + ... + 881650.

It is an arithmetic number, because the mean of its divisors is an integer number (19650456).

Almost surely, 2^540263872 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 540263872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550212768).

540263872 is an abundant number, since it is smaller than the sum of its proper divisors (560161664).

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

540263872 is a wasteful number, since it uses less digits than its factorization.

540263872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 540263872 is about 23243.5770052718. The cubic root of 540263872 is about 814.4579038988.

The spelling of 540263872 in words is "five hundred forty million, two hundred sixty-three thousand, eight hundred seventy-two".