541879200 has 144 divisors (see below), whose sum is σ = 1959874560. Its totient is φ = 144495360.

The previous prime is 541879193. The next prime is 541879231. The reversal of 541879200 is 2978145.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 9057 + ... + 34143.

It is an arithmetic number, because the mean of its divisors is an integer number (13610240).

Almost surely, 2^541879200 is an apocalyptic number.

541879200 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 541879200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979937280).

541879200 is an abundant number, since it is smaller than the sum of its proper divisors (1417995360).

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

541879200 is a wasteful number, since it uses less digits than its factorization.

541879200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25116 (or 25097 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 541879200 is about 23278.2989069219. The cubic root of 541879200 is about 815.2688086665.

The spelling of 541879200 in words is "five hundred forty-one million, eight hundred seventy-nine thousand, two hundred".