541417056 has 96 divisors (see below), whose sum is σ = 1503774720. Its totient is φ = 170210304.

The previous prime is 541417049. The next prime is 541417069. The reversal of 541417056 is 650714145.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 159505 + ... + 162863.

It is an arithmetic number, because the mean of its divisors is an integer number (15664320).

Almost surely, 2^541417056 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 541417056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751887360).

541417056 is an abundant number, since it is smaller than the sum of its proper divisors (962357664).

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

541417056 is a wasteful number, since it uses less digits than its factorization.

541417056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3468 (or 3460 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 541417056 is about 23268.3702910195. The cubic root of 541417056 is about 815.0369742469.

The spelling of 541417056 in words is "five hundred forty-one million, four hundred seventeen thousand, fifty-six".