540948408 has 384 divisors, whose sum is σ = 1930521600. Its totient is φ = 122664960.

The previous prime is 540948379. The next prime is 540948413. The reversal of 540948408 is 804849045.

540948408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 540948408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6078028 + ... + 6078116.

It is an arithmetic number, because the mean of its divisors is an integer number (5027400).

Almost surely, 2^540948408 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 540948408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965260800).

540948408 is an abundant number, since it is smaller than the sum of its proper divisors (1389573192).

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

540948408 is a wasteful number, since it uses less digits than its factorization.

540948408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 540948408 is about 23258.2976161197. The cubic root of 540948408 is about 814.8017423335.

The spelling of 540948408 in words is "five hundred forty million, nine hundred forty-eight thousand, four hundred eight".