540952776 has 384 divisors, whose sum is σ = 1950048000. Its totient is φ = 135862272.

The previous prime is 540952757. The next prime is 540952777. The reversal of 540952776 is 677259045.

540952776 is a `hidden beast` number, since 54 + 0 + 9 + 527 + 76 = 666.

It is not an unprimeable number, because it can be changed into a prime (540952777) 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 95 ways as a sum of consecutive naturals, for example, 7410276 + ... + 7410348.

It is an arithmetic number, because the mean of its divisors is an integer number (5078250).

Almost surely, 2^540952776 is an apocalyptic number.

540952776 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 540952776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975024000).

540952776 is an abundant number, since it is smaller than the sum of its proper divisors (1409095224).

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

540952776 is a wasteful number, since it uses less digits than its factorization.

540952776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 540952776 is about 23258.3915179017. The cubic root of 540952776 is about 814.8039354227.

It can be divided in two parts, 5409 and 52776, that added together give a palindrome (58185).

The spelling of 540952776 in words is "five hundred forty million, nine hundred fifty-two thousand, seven hundred seventy-six".