541405000 has 160 divisors (see below), whose sum is σ = 1377684000. Its totient is φ = 198720000.

The previous prime is 541404961. The next prime is 541405003. The reversal of 541405000 is 504145.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (541405003) 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 39 ways as a sum of consecutive naturals, for example, 3894931 + ... + 3895069.

It is an arithmetic number, because the mean of its divisors is an integer number (8610525).

Almost surely, 2^541405000 is an apocalyptic number.

541405000 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 541405000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688842000).

541405000 is an abundant number, since it is smaller than the sum of its proper divisors (836279000).

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

541405000 is a wasteful number, since it uses less digits than its factorization.

541405000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 541405000 is about 23268.1112254519. Note that the first 3 decimals coincide. The cubic root of 541405000 is about 815.0309245922.

Adding to 541405000 its reverse (504145), we get a palindrome (541909145).

The spelling of 541405000 in words is "five hundred forty-one million, four hundred five thousand".