305864640 has 112 divisors (see below), whose sum is σ = 1079052960. Its totient is φ = 81561600.

The previous prime is 305864627. The next prime is 305864651. The reversal of 305864640 is 46468503.

305864640 is a `hidden beast` number, since 3 + 0 + 5 + 8 + 6 + 4 + 640 = 666.

305864640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 305864595 and 305864604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9061 + ... + 26340.

Almost surely, 2^305864640 is an apocalyptic number.

305864640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

305864640 is an abundant number, since it is smaller than the sum of its proper divisors (773188320).

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

305864640 is a wasteful number, since it uses less digits than its factorization.

305864640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35427 (or 35411 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 305864640 is about 17488.9862484937. The cubic root of 305864640 is about 673.7670331630.

The spelling of 305864640 in words is "three hundred five million, eight hundred sixty-four thousand, six hundred forty".