305625984 has 64 divisors (see below), whose sum is σ = 827191440. Its totient is φ = 99946496.

The previous prime is 305625967. The next prime is 305625989. The reversal of 305625984 is 489526503.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305625989) 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, 12844 + ... + 27860.

Almost surely, 2^305625984 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 305625984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413595720).

305625984 is an abundant number, since it is smaller than the sum of its proper divisors (521565456).

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

305625984 is a wasteful number, since it uses less digits than its factorization.

305625984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15087 (or 15075 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 305625984 is about 17482.1618800422. The cubic root of 305625984 is about 673.5917482340.

The spelling of 305625984 in words is "three hundred five million, six hundred twenty-five thousand, nine hundred eighty-four".