541306800 has 180 divisors, whose sum is σ = 1948408280. Its totient is φ = 144322560.

The previous prime is 541306757. The next prime is 541306813. The reversal of 541306800 is 8603145.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 94416 + ... + 99984.

Almost surely, 2^541306800 is an apocalyptic number.

541306800 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 541306800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974204140).

541306800 is an abundant number, since it is smaller than the sum of its proper divisors (1407101480).

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

541306800 is a wasteful number, since it uses less digits than its factorization.

541306800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5602 (or 5579 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 541306800 is about 23266.0009455858. Note that the first 3 decimals coincide. The cubic root of 541306800 is about 814.9816448624.

Adding to 541306800 its reverse (8603145), we get a palindrome (549909945).

The spelling of 541306800 in words is "five hundred forty-one million, three hundred six thousand, eight hundred".