304225152 has 128 divisors (see below), whose sum is σ = 1007596800. Its totient is φ = 79011840.

The previous prime is 304225147. The next prime is 304225153. The reversal of 304225152 is 251522403.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304225153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24424 + ... + 34712.

It is an arithmetic number, because the mean of its divisors is an integer number (7871850).

Almost surely, 2^304225152 is an apocalyptic number.

304225152 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 304225152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503798400).

304225152 is an abundant number, since it is smaller than the sum of its proper divisors (703371648).

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

304225152 is a wasteful number, since it uses less digits than its factorization.

304225152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10324 (or 10312 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 304225152 is about 17442.0512555146. The cubic root of 304225152 is about 672.5610394055.

Adding to 304225152 its reverse (251522403), we get a palindrome (555747555).

It can be divided in two parts, 304 and 225152, that added together give a triangular number (225456 = T₆₇₁).

The spelling of 304225152 in words is "three hundred four million, two hundred twenty-five thousand, one hundred fifty-two".