304004413440 has 1536 divisors, whose sum is σ = 1365793228800. Its totient is φ = 62426972160.

The previous prime is 304004413421. The next prime is 304004413441. The reversal of 304004413440 is 44314400403.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304004413441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1081866100 + ... + 1081866380.

It is an arithmetic number, because the mean of its divisors is an integer number (889188300).

Almost surely, 2^304004413440 is an apocalyptic number.

304004413440 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 304004413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682896614400).

304004413440 is an abundant number, since it is smaller than the sum of its proper divisors (1061788815360).

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

304004413440 is a wasteful number, since it uses less digits than its factorization.

304004413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 304004413440 its reverse (44314400403), we get a palindrome (348318813843).

The spelling of 304004413440 in words is "three hundred four billion, four million, four hundred thirteen thousand, four hundred forty".