304008137472 has 576 divisors, whose sum is σ = 1002814525440. Its totient is φ = 80687923200.

The previous prime is 304008137471. The next prime is 304008137501. The reversal of 304008137472 is 274731800403.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 304008137472.

It is not an unprimeable number, because it can be changed into a prime (304008137471) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99968272 + ... + 99971312.

It is an arithmetic number, because the mean of its divisors is an integer number (1740997440).

Almost surely, 2^304008137472 is an apocalyptic number.

304008137472 is a gapful number since it is divisible by the number (32) 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 304008137472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501407262720).

304008137472 is an abundant number, since it is smaller than the sum of its proper divisors (698806387968).

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

304008137472 is a wasteful number, since it uses less digits than its factorization.

304008137472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3140 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

Adding to 304008137472 its reverse (274731800403), we get a palindrome (578739937875).

The spelling of 304008137472 in words is "three hundred four billion, eight million, one hundred thirty-seven thousand, four hundred seventy-two".