541506800 has 30 divisors (see below), whose sum is σ = 1300971048. Its totient is φ = 216602560.

The previous prime is 541506799. The next prime is 541506811. The reversal of 541506800 is 8605145.

It is a happy number.

It is a super-2 number, since 2×541506800² = 586459228892480000, which contains 22 as substring.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 676484 + ... + 677283.

Almost surely, 2^541506800 is an apocalyptic number.

541506800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

541506800 is an abundant number, since it is smaller than the sum of its proper divisors (759464248).

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

541506800 is a wasteful number, since it uses less digits than its factorization.

541506800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353785 (or 1353774 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 541506800 is about 23270.2986658960. The cubic root of 541506800 is about 815.0820046206.

The spelling of 541506800 in words is "five hundred forty-one million, five hundred six thousand, eight hundred".