541242300 has 72 divisors (see below), whose sum is σ = 1574899200. Its totient is φ = 143510720.

The previous prime is 541242241. The next prime is 541242323. The reversal of 541242300 is 3242145.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 48661 + ... + 58739.

It is an arithmetic number, because the mean of its divisors is an integer number (21873600).

Almost surely, 2^541242300 is an apocalyptic number.

541242300 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 541242300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787449600).

541242300 is an abundant number, since it is smaller than the sum of its proper divisors (1033656900).

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

541242300 is a wasteful number, since it uses less digits than its factorization.

541242300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10275 (or 10268 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 541242300 is about 23264.6147614784. The cubic root of 541242300 is about 814.9492735688.

Adding to 541242300 its reverse (3242145), we get a palindrome (544484445).

The spelling of 541242300 in words is "five hundred forty-one million, two hundred forty-two thousand, three hundred".