540478008 has 320 divisors, whose sum is σ = 1885973760. Its totient is φ = 141087744.

The previous prime is 540478007. The next prime is 540478013. The reversal of 540478008 is 800874045.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540478007) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 3315735 + ... + 3315897.

It is an arithmetic number, because the mean of its divisors is an integer number (5893668).

Almost surely, 2^540478008 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 540478008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942986880).

540478008 is an abundant number, since it is smaller than the sum of its proper divisors (1345495752).

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

540478008 is a wasteful number, since it uses less digits than its factorization.

540478008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 540478008 is about 23248.1828967341. The cubic root of 540478008 is about 814.5654943620.

The spelling of 540478008 in words is "five hundred forty million, four hundred seventy-eight thousand, eight".