305663328 has 48 divisors (see below), whose sum is σ = 891520560. Its totient is φ = 101887488.

The previous prime is 305663263. The next prime is 305663329. The reversal of 305663328 is 823366503.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 305663292 and 305663301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305663329) 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, 176025 + ... + 177752.

It is an arithmetic number, because the mean of its divisors is an integer number (18573345).

Almost surely, 2^305663328 is an apocalyptic number.

It is an amenable number.

305663328 is an abundant number, since it is smaller than the sum of its proper divisors (585857232).

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

305663328 is a wasteful number, since it uses less digits than its factorization.

305663328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353796 (or 353782 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 305663328 is about 17483.2299075428. The cubic root of 305663328 is about 673.6191821861.

The spelling of 305663328 in words is "three hundred five million, six hundred sixty-three thousand, three hundred twenty-eight".