201241824 has 144 divisors (see below), whose sum is σ = 620524800. Its totient is φ = 56937216.

The previous prime is 201241823. The next prime is 201241871. The reversal of 201241824 is 428142102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 201241794 and 201241803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201241823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 841897 + ... + 842135.

It is an arithmetic number, because the mean of its divisors is an integer number (4309200).

Almost surely, 2^201241824 is an apocalyptic number.

201241824 is a gapful number since it is divisible by the number (24) 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 201241824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310262400).

201241824 is an abundant number, since it is smaller than the sum of its proper divisors (419282976).

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

201241824 is a wasteful number, since it uses less digits than its factorization.

201241824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 201241824 is about 14185.9727900486. The cubic root of 201241824 is about 586.0114229350.

Adding to 201241824 its reverse (428142102), we get a palindrome (629383926).

The spelling of 201241824 in words is "two hundred one million, two hundred forty-one thousand, eight hundred twenty-four".