541416800 has 36 divisors (see below), whose sum is σ = 1321735716. Its totient is φ = 216566400.

The previous prime is 541416763. The next prime is 541416823. The reversal of 541416800 is 8614145.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 337586 + ... + 339185.

It is an arithmetic number, because the mean of its divisors is an integer number (36714881).

Almost surely, 2^541416800 is an apocalyptic number.

541416800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

541416800 is an abundant number, since it is smaller than the sum of its proper divisors (780318916).

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

541416800 is a wasteful number, since it uses less digits than its factorization.

541416800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676791 (or 676778 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 541416800 is about 23268.3647899890. The cubic root of 541416800 is about 815.0368457880.

The spelling of 541416800 in words is "five hundred forty-one million, four hundred sixteen thousand, eight hundred".