540316980 has 480 divisors, whose sum is σ = 2107607040. Its totient is φ = 113218560.

The previous prime is 540316963. The next prime is 540316993. The reversal of 540316980 is 89613045.

540316980 is a `hidden beast` number, since 540 + 31 + 6 + 9 + 80 = 666.

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

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 159 ways as a sum of consecutive naturals, for example, 10194634 + ... + 10194686.

It is an arithmetic number, because the mean of its divisors is an integer number (4390848).

Almost surely, 2^540316980 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 540316980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053803520).

540316980 is an abundant number, since it is smaller than the sum of its proper divisors (1567290060).

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

540316980 is a wasteful number, since it uses less digits than its factorization.

540316980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 540316980 is about 23244.7194003283. The cubic root of 540316980 is about 814.4845901259.

The spelling of 540316980 in words is "five hundred forty million, three hundred sixteen thousand, nine hundred eighty".