30385920 has 144 divisors (see below), whose sum is σ = 99927072. Its totient is φ = 7864320.

The previous prime is 30385909. The next prime is 30385933. The reversal of 30385920 is 2958303.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 157344 + ... + 157536.

It is an arithmetic number, because the mean of its divisors is an integer number (693938).

Almost surely, 2^30385920 is an apocalyptic number.

30385920 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 30385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49963536).

30385920 is an abundant number, since it is smaller than the sum of its proper divisors (69541152).

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

30385920 is a wasteful number, since it uses less digits than its factorization.

30385920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 30385920 is about 5512.3425147572. The cubic root of 30385920 is about 312.0499591267.

The spelling of 30385920 in words is "thirty million, three hundred eighty-five thousand, nine hundred twenty".