541022416 has 160 divisors (see below), whose sum is σ = 1319915520. Its totient is φ = 211507200.

The previous prime is 541022407. The next prime is 541022441. The reversal of 541022416 is 614220145.

It is a happy number.

It is a super-2 number, since 2×541022416² = 585410509228954112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1762135 + ... + 1762441.

It is an arithmetic number, because the mean of its divisors is an integer number (8249472).

Almost surely, 2^541022416 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 541022416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659957760).

541022416 is an abundant number, since it is smaller than the sum of its proper divisors (778893104).

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

541022416 is a wasteful number, since it uses less digits than its factorization.

541022416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 541022416 is about 23259.8885637915. Note that the first 3 decimals coincide. The cubic root of 541022416 is about 814.8388987404.

The spelling of 541022416 in words is "five hundred forty-one million, twenty-two thousand, four hundred sixteen".