304241240400 has 120 divisors (see below), whose sum is σ = 978292772160. Its totient is φ = 80822430720.

The previous prime is 304241240393. The next prime is 304241240417. The reversal of 304241240400 is 4042142403.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

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, 166405 + ... + 797604.

It is an arithmetic number, because the mean of its divisors is an integer number (8152439768).

Almost surely, 2^304241240400 is an apocalyptic number.

304241240400 is a gapful number since it is divisible by the number (30) 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 304241240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489146386080).

304241240400 is an abundant number, since it is smaller than the sum of its proper divisors (674051531760).

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

304241240400 is a wasteful number, since it uses less digits than its factorization.

304241240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964293 (or 964282 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 304241240400 its reverse (4042142403), we get a palindrome (308283382803).

The spelling of 304241240400 in words is "three hundred four billion, two hundred forty-one million, two hundred forty thousand, four hundred".