541227960 has 256 divisors, whose sum is σ = 2220825600. Its totient is φ = 114172416.

The previous prime is 541227931. The next prime is 541227979. The reversal of 541227960 is 69722145.

541227960 is a `hidden beast` number, since 541 + 2 + 27 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 95527 + ... + 101033.

It is an arithmetic number, because the mean of its divisors is an integer number (8675100).

Almost surely, 2^541227960 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 541227960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110412800).

541227960 is an abundant number, since it is smaller than the sum of its proper divisors (1679597640).

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

541227960 is a wasteful number, since it uses less digits than its factorization.

541227960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5547 (or 5537 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 541227960 is about 23264.3065660681. The cubic root of 541227960 is about 814.9420762527.

The spelling of 541227960 in words is "five hundred forty-one million, two hundred twenty-seven thousand, nine hundred sixty".