541200384 has 156 divisors (see below), whose sum is σ = 1598522796. Its totient is φ = 176357376.

The previous prime is 541200379. The next prime is 541200391. The reversal of 541200384 is 483002145.

It can be written as a sum of positive squares in 2 ways, for example, as 235929600 + 305270784 = 15360^2 + 17472^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1953654 + ... + 1953930.

It is an arithmetic number, because the mean of its divisors is an integer number (10246941).

Almost surely, 2^541200384 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 541200384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799261398).

541200384 is an abundant number, since it is smaller than the sum of its proper divisors (1057322412).

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

541200384 is a wasteful number, since it uses less digits than its factorization.

541200384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 541200384 is about 23263.7138909504. The cubic root of 541200384 is about 814.9282353661.

The spelling of 541200384 in words is "five hundred forty-one million, two hundred thousand, three hundred eighty-four".