540343776 has 288 divisors, whose sum is σ = 1815035040. Its totient is φ = 139689984.

The previous prime is 540343753. The next prime is 540343801. The reversal of 540343776 is 677343045.

It is a hoax number, since the sum of its digits (39) 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2318956 + ... + 2319188.

It is an arithmetic number, because the mean of its divisors is an integer number (6302205).

Almost surely, 2^540343776 is an apocalyptic number.

540343776 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 540343776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907517520).

540343776 is an abundant number, since it is smaller than the sum of its proper divisors (1274691264).

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

540343776 is a wasteful number, since it uses less digits than its factorization.

540343776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 39.

The square root of 540343776 is about 23245.2957821577. The cubic root of 540343776 is about 814.4980541783.

The spelling of 540343776 in words is "five hundred forty million, three hundred forty-three thousand, seven hundred seventy-six".