305828640 has 432 divisors, whose sum is σ = 1229659704. Its totient is φ = 68567040.

The previous prime is 305828639. The next prime is 305828647. The reversal of 305828640 is 46828503.

305828640 is a `hidden beast` number, since 3 + 0 + 5 + 8 + 2 + 8 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 232623504 + 73205136 = 15252^2 + 8556^2 .

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 = 305828595 and 305828604.

It is not an unprimeable number, because it can be changed into a prime (305828647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9865425 + ... + 9865455.

Almost surely, 2^305828640 is an apocalyptic number.

305828640 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 305828640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614829852).

305828640 is an abundant number, since it is smaller than the sum of its proper divisors (923831064).

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

305828640 is a wasteful number, since it uses less digits than its factorization.

305828640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 305828640 is about 17487.9569990322. The cubic root of 305828640 is about 673.7405981962.

The spelling of 305828640 in words is "three hundred five million, eight hundred twenty-eight thousand, six hundred forty".