304668000 has 768 divisors, whose sum is σ = 1408942080. Its totient is φ = 62208000.

The previous prime is 304667989. The next prime is 304668011. The reversal of 304668000 is 866403.

It is an interprime number because it is at equal distance from previous prime (304667989) and next prime (304668011).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9827985 + ... + 9828015.

It is an arithmetic number, because the mean of its divisors is an integer number (1834560).

Almost surely, 2^304668000 is an apocalyptic number.

304668000 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 304668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704471040).

304668000 is an abundant number, since it is smaller than the sum of its proper divisors (1104274080).

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

304668000 is a wasteful number, since it uses less digits than its factorization.

304668000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 304668000 is about 17454.7414761720. The cubic root of 304668000 is about 672.8872209710.

The spelling of 304668000 in words is "three hundred four million, six hundred sixty-eight thousand".