541096800 has 72 divisors (see below), whose sum is σ = 1761277896. Its totient is φ = 144291840.

The previous prime is 541096783. The next prime is 541096807. The reversal of 541096800 is 8690145.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541096807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110329 + ... + 115128.

It is an arithmetic number, because the mean of its divisors is an integer number (24462193).

Almost surely, 2^541096800 is an apocalyptic number.

541096800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

541096800 is an abundant number, since it is smaller than the sum of its proper divisors (1220181096).

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

541096800 is a wasteful number, since it uses less digits than its factorization.

541096800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225480 (or 225467 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 541096800 is about 23261.4874846816. The cubic root of 541096800 is about 814.8762405075.

The spelling of 541096800 in words is "five hundred forty-one million, ninety-six thousand, eight hundred".