541882000 has 80 divisors (see below), whose sum is σ = 1429444224. Its totient is φ = 197040000.

The previous prime is 541881961. The next prime is 541882009. The reversal of 541882000 is 288145.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×541882000² = 587272203848000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 541882000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541882009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9685 + ... + 34315.

Almost surely, 2^541882000 is an apocalyptic number.

541882000 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 541882000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714722112).

541882000 is an abundant number, since it is smaller than the sum of its proper divisors (887562224).

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

541882000 is a wasteful number, since it uses less digits than its factorization.

541882000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24665 (or 24649 counting only the distinct ones).

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

The square root of 541882000 is about 23278.3590486959. The cubic root of 541882000 is about 815.2702128840.

The spelling of 541882000 in words is "five hundred forty-one million, eight hundred eighty-two thousand".