540848880 has 640 divisors, whose sum is σ = 2339850240. Its totient is φ = 112803840.

The previous prime is 540848821. The next prime is 540848911. The reversal of 540848880 is 88848045.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5250909 + ... + 5251011.

It is an arithmetic number, because the mean of its divisors is an integer number (3656016).

Almost surely, 2^540848880 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 540848880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169925120).

540848880 is an abundant number, since it is smaller than the sum of its proper divisors (1799001360).

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

540848880 is a wasteful number, since it uses less digits than its factorization.

540848880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The square root of 540848880 is about 23256.1578942008. The cubic root of 540848880 is about 814.7517680287.

The spelling of 540848880 in words is "five hundred forty million, eight hundred forty-eight thousand, eight hundred eighty".