304903872 has 336 divisors, whose sum is σ = 1126967520. Its totient is φ = 80123904.

The previous prime is 304903871. The next prime is 304903873. The reversal of 304903872 is 278309403.

It is an interprime number because it is at equal distance from previous prime (304903871) and next prime (304903873).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (304903871) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1100598 + ... + 1100874.

It is an arithmetic number, because the mean of its divisors is an integer number (3354070).

Almost surely, 2^304903872 is an apocalyptic number.

304903872 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 304903872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563483760).

304903872 is an abundant number, since it is smaller than the sum of its proper divisors (822063648).

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

304903872 is a wasteful number, since it uses less digits than its factorization.

304903872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 304903872 is about 17461.4968430544. The cubic root of 304903872 is about 673.0608244929.

The spelling of 304903872 in words is "three hundred four million, nine hundred three thousand, eight hundred seventy-two".