541121460 has 192 divisors, whose sum is σ = 1766983680. Its totient is φ = 122411520.

The previous prime is 541121447. The next prime is 541121491. The reversal of 541121460 is 64121145.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 541121460.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 652326 + ... + 653154.

It is an arithmetic number, because the mean of its divisors is an integer number (9203040).

Almost surely, 2^541121460 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 541121460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883491840).

541121460 is an abundant number, since it is smaller than the sum of its proper divisors (1225862220).

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

541121460 is a wasteful number, since it uses less digits than its factorization.

541121460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 541121460 is about 23262.0175393279. The cubic root of 541121460 is about 814.8886194034. Note that the first 3 decimals are identical.

The spelling of 541121460 in words is "five hundred forty-one million, one hundred twenty-one thousand, four hundred sixty".