541998000 has 160 divisors (see below), whose sum is σ = 1941750720. Its totient is φ = 144518400.

The previous prime is 541997977. The next prime is 541998001. The reversal of 541998000 is 899145.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (541998001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 48982 + ... + 59018.

It is an arithmetic number, because the mean of its divisors is an integer number (12135942).

Almost surely, 2^541998000 is an apocalyptic number.

541998000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541998000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970875360).

541998000 is an abundant number, since it is smaller than the sum of its proper divisors (1399752720).

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

541998000 is a wasteful number, since it uses less digits than its factorization.

541998000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10069 (or 10047 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 541998000 is about 23280.8504999280. The cubic root of 541998000 is about 815.3283833573.

The spelling of 541998000 in words is "five hundred forty-one million, nine hundred ninety-eight thousand".