541446360 has 256 divisors, whose sum is σ = 2017612800. Its totient is φ = 113190912.

The previous prime is 541446343. The next prime is 541446511. The reversal of 541446360 is 63644145.

It is a Cunningham number, because it is equal to 23269²-1.

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 63 ways as a sum of consecutive naturals, for example, 1954542 + ... + 1954818.

It is an arithmetic number, because the mean of its divisors is an integer number (7881300).

Almost surely, 2^541446360 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 541446360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008806400).

541446360 is an abundant number, since it is smaller than the sum of its proper divisors (1476166440).

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

541446360 is a wasteful number, since it uses less digits than its factorization.

541446360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 541446360 is about 23268.9999785122. Note that the first 4 decimals coincide. The cubic root of 541446360 is about 815.0516785076.

The spelling of 541446360 in words is "five hundred forty-one million, four hundred forty-six thousand, three hundred sixty".