540975456 has 192 divisors, whose sum is σ = 1882137600. Its totient is φ = 147806208.

The previous prime is 540975437. The next prime is 540975473. The reversal of 540975456 is 654579045.

540975456 is a `hidden beast` number, since 540 + 9 + 7 + 54 + 56 = 666.

It is a hoax number, since the sum of its digits (45) 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 31 ways as a sum of consecutive naturals, for example, 137160 + ... + 141048.

It is an arithmetic number, because the mean of its divisors is an integer number (9802800).

Almost surely, 2^540975456 is an apocalyptic number.

540975456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540975456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941068800).

540975456 is an abundant number, since it is smaller than the sum of its proper divisors (1341162144).

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

540975456 is a wasteful number, since it uses less digits than its factorization.

540975456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3938 (or 3924 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 540975456 is about 23258.8790787518. The cubic root of 540975456 is about 814.8153224272.

The spelling of 540975456 in words is "five hundred forty million, nine hundred seventy-five thousand, four hundred fifty-six".