305420864 has 56 divisors (see below), whose sum is σ = 722790528. Its totient is φ = 125199360.

The previous prime is 305420851. The next prime is 305420881. The reversal of 305420864 is 468024503.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 305420864.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4517 + ... + 25124.

Almost surely, 2^305420864 is an apocalyptic number.

It is an amenable number.

305420864 is an abundant number, since it is smaller than the sum of its proper divisors (417369664).

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

305420864 is a wasteful number, since it uses less digits than its factorization.

305420864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29683 (or 29673 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 305420864 is about 17476.2943440536. The cubic root of 305420864 is about 673.4410214543.

The spelling of 305420864 in words is "three hundred five million, four hundred twenty thousand, eight hundred sixty-four".