541404240 has 160 divisors (see below), whose sum is σ = 1902794880. Its totient is φ = 126240768.

The previous prime is 541404229. The next prime is 541404247. The reversal of 541404240 is 42404145.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 541404240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541404247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54714 + ... + 63846.

It is an arithmetic number, because the mean of its divisors is an integer number (11892468).

Almost surely, 2^541404240 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 541404240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951397440).

541404240 is an abundant number, since it is smaller than the sum of its proper divisors (1361390640).

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

541404240 is a wasteful number, since it uses less digits than its factorization.

541404240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9181 (or 9175 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 541404240 is about 23268.0948940819. The cubic root of 541404240 is about 815.0305432241.

Adding to 541404240 its reverse (42404145), we get a palindrome (583808385).

The spelling of 541404240 in words is "five hundred forty-one million, four hundred four thousand, two hundred forty".