541435104 has 360 divisors, whose sum is σ = 1926975960. Its totient is φ = 149361408.

The previous prime is 541435099. The next prime is 541435109. The reversal of 541435104 is 401534145.

It is a happy number.

541435104 is a `hidden beast` number, since 5 + 4 + 143 + 510 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (541435099) and next prime (541435109).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541435109) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 18670162 + ... + 18670190.

It is an arithmetic number, because the mean of its divisors is an integer number (5352711).

Almost surely, 2^541435104 is an apocalyptic number.

541435104 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541435104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963487980).

541435104 is an abundant number, since it is smaller than the sum of its proper divisors (1385540856).

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

541435104 is an frugal number, since it uses more digits than its factorization.

541435104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 541435104 is about 23268.7581103934. The cubic root of 541435104 is about 815.0460304964.

Adding to 541435104 its reverse (401534145), we get a palindrome (942969249).

The spelling of 541435104 in words is "five hundred forty-one million, four hundred thirty-five thousand, one hundred four".