541957440 has 112 divisors (see below), whose sum is σ = 1730776320. Its totient is φ = 143677440.

The previous prime is 541957397. The next prime is 541957447. The reversal of 541957440 is 44759145.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541957447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172201 + ... + 175319.

It is an arithmetic number, because the mean of its divisors is an integer number (15453360).

Almost surely, 2^541957440 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 541957440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865388160).

541957440 is an abundant number, since it is smaller than the sum of its proper divisors (1188818880).

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

541957440 is a wasteful number, since it uses less digits than its factorization.

541957440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3320 (or 3310 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 541957440 is about 23279.9793814342. The cubic root of 541957440 is about 815.3080446942.

The spelling of 541957440 in words is "five hundred forty-one million, nine hundred fifty-seven thousand, four hundred forty".