541280800 has 36 divisors (see below), whose sum is σ = 1321403706. Its totient is φ = 216512000.

The previous prime is 541280777. The next prime is 541280813. The reversal of 541280800 is 8082145.

It can be written as a sum of positive squares in 3 ways, for example, as 384630544 + 156650256 = 19612^2 + 12516^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 337501 + ... + 339100.

Almost surely, 2^541280800 is an apocalyptic number.

541280800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

541280800 is an abundant number, since it is smaller than the sum of its proper divisors (780122906).

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

541280800 is a wasteful number, since it uses less digits than its factorization.

541280800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676621 (or 676608 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 541280800 is about 23265.4421836336. The cubic root of 541280800 is about 814.9685962783.

The spelling of 541280800 in words is "five hundred forty-one million, two hundred eighty thousand, eight hundred".