541212320 has 96 divisors (see below), whose sum is σ = 1432722816. Its totient is φ = 191462400.

The previous prime is 541212311. The next prime is 541212361. The reversal of 541212320 is 23212145.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 541212292 and 541212301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60965 + ... + 69275.

It is an arithmetic number, because the mean of its divisors is an integer number (14924196).

Almost surely, 2^541212320 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 541212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716361408).

541212320 is an abundant number, since it is smaller than the sum of its proper divisors (891510496).

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

541212320 is a wasteful number, since it uses less digits than its factorization.

541212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8374 (or 8366 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 541212320 is about 23263.9704263911. The cubic root of 541212320 is about 814.9342263153.

Adding to 541212320 its reverse (23212145), we get a palindrome (564424465).

The spelling of 541212320 in words is "five hundred forty-one million, two hundred twelve thousand, three hundred twenty".