540406944 has 192 divisors, whose sum is σ = 1965358080. Its totient is φ = 140348160.

The previous prime is 540406943. The next prime is 540406961. The reversal of 540406944 is 449604045.

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

It is a junction number, because it is equal to n+sod(n) for n = 540406899 and 540406908.

It is not an unprimeable number, because it can be changed into a prime (540406943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62467 + ... + 70589.

It is an arithmetic number, because the mean of its divisors is an integer number (10236240).

Almost surely, 2^540406944 is an apocalyptic number.

540406944 is a gapful number since it is divisible by the number (54) 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 540406944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982679040).

540406944 is an abundant number, since it is smaller than the sum of its proper divisors (1424951136).

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

540406944 is a wasteful number, since it uses less digits than its factorization.

540406944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8160 (or 8146 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 540406944 is about 23246.6544689768. The cubic root of 540406944 is about 814.5297921265.

The spelling of 540406944 in words is "five hundred forty million, four hundred six thousand, nine hundred forty-four".