30465984 has 56 divisors (see below), whose sum is σ = 84124800. Its totient is φ = 9712384.

The previous prime is 30465959. The next prime is 30466021. The reversal of 30465984 is 48956403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 967 + ... + 7865.

Almost surely, 2^30465984 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 30465984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42062400).

30465984 is an abundant number, since it is smaller than the sum of its proper divisors (53658816).

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

30465984 is a wasteful number, since it uses less digits than its factorization.

30465984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6937 (or 6927 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 30465984 is about 5519.5999855062. The cubic root of 30465984 is about 312.3237927152.

The spelling of 30465984 in words is "thirty million, four hundred sixty-five thousand, nine hundred eighty-four".