541285800 has 96 divisors (see below), whose sum is σ = 1830552480. Its totient is φ = 131219200.

The previous prime is 541285799. The next prime is 541285819. The reversal of 541285800 is 8582145.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34407 + ... + 47606.

It is an arithmetic number, because the mean of its divisors is an integer number (19068255).

Almost surely, 2^541285800 is an apocalyptic number.

541285800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

541285800 is an abundant number, since it is smaller than the sum of its proper divisors (1289266680).

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

541285800 is a wasteful number, since it uses less digits than its factorization.

541285800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82043 (or 82034 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 541285800 is about 23265.5496388974. The cubic root of 541285800 is about 814.9711056538.

The spelling of 541285800 in words is "five hundred forty-one million, two hundred eighty-five thousand, eight hundred".