541531872 has 384 divisors, whose sum is σ = 2003097600. Its totient is φ = 138682368.

The previous prime is 541531847. The next prime is 541531931. The reversal of 541531872 is 278135145.

541531872 is a `hidden beast` number, since 5 + 41 + 531 + 87 + 2 = 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2364654 + ... + 2364882.

It is an arithmetic number, because the mean of its divisors is an integer number (5216400).

Almost surely, 2^541531872 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 541531872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001548800).

541531872 is an abundant number, since it is smaller than the sum of its proper divisors (1461565728).

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

541531872 is a wasteful number, since it uses less digits than its factorization.

541531872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 281 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 541531872 is about 23270.8373721274. The cubic root of 541531872 is about 815.0945839767.

The spelling of 541531872 in words is "five hundred forty-one million, five hundred thirty-one thousand, eight hundred seventy-two".