541241400 has 192 divisors, whose sum is σ = 1979873280. Its totient is φ = 119692800.

The previous prime is 541241381. The next prime is 541241447. The reversal of 541241400 is 4142145.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128122 + ... + 132278.

It is an arithmetic number, because the mean of its divisors is an integer number (10311840).

Almost surely, 2^541241400 is an apocalyptic number.

541241400 is a gapful number since it is divisible by the number (50) 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 541241400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989936640).

541241400 is an abundant number, since it is smaller than the sum of its proper divisors (1438631880).

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

541241400 is a wasteful number, since it uses less digits than its factorization.

541241400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4214 (or 4205 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 541241400 is about 23264.5954187903. The cubic root of 541241400 is about 814.9488218581.

Adding to 541241400 its reverse (4142145), we get a palindrome (545383545).

The spelling of 541241400 in words is "five hundred forty-one million, two hundred forty-one thousand, four hundred".