305455968 has 96 divisors (see below), whose sum is σ = 894348000. Its totient is φ = 101426688.

The previous prime is 305455963. The next prime is 305455973. The reversal of 305455968 is 869554503.

305455968 is a `hidden beast` number, since 3 + 0 + 54 + 5 + 596 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (305455963) and next prime (305455973).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305455963) 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, 301030 + ... + 302042.

It is an arithmetic number, because the mean of its divisors is an integer number (9316125).

Almost surely, 2^305455968 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 305455968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447174000).

305455968 is an abundant number, since it is smaller than the sum of its proper divisors (588892032).

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

305455968 is a wasteful number, since it uses less digits than its factorization.

305455968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 305455968 is about 17477.2986471022. The cubic root of 305455968 is about 673.4668214468.

The spelling of 305455968 in words is "three hundred five million, four hundred fifty-five thousand, nine hundred sixty-eight".