304138880 has 64 divisors (see below), whose sum is σ = 742625280. Its totient is φ = 119055360.

The previous prime is 304138831. The next prime is 304138883. The reversal of 304138880 is 88831403.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 304138880.

It is not an unprimeable number, because it can be changed into a prime (304138883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25025 + ... + 35135.

It is an arithmetic number, because the mean of its divisors is an integer number (11603520).

Almost surely, 2^304138880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371312640).

304138880 is an abundant number, since it is smaller than the sum of its proper divisors (438486400).

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

304138880 is a wasteful number, since it uses less digits than its factorization.

304138880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10177 (or 10165 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 304138880 is about 17439.5779765452. The cubic root of 304138880 is about 672.4974585661.

It can be divided in two parts, 30413 and 8880, that added together give a palindrome (39293).

The spelling of 304138880 in words is "three hundred four million, one hundred thirty-eight thousand, eight hundred eighty".