30419920 has 80 divisors (see below), whose sum is σ = 74638080. Its totient is φ = 11515392.

The previous prime is 30419899. The next prime is 30419923. The reversal of 30419920 is 2991403.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30419923) 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 15 ways as a sum of consecutive naturals, for example, 127161 + ... + 127399.

It is an arithmetic number, because the mean of its divisors is an integer number (932976).

Almost surely, 2^30419920 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 30419920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37319040).

30419920 is an abundant number, since it is smaller than the sum of its proper divisors (44218160).

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

30419920 is a wasteful number, since it uses less digits than its factorization.

30419920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 30419920 is about 5515.4256408731. The cubic root of 30419920 is about 312.1663040640.

The spelling of 30419920 in words is "thirty million, four hundred nineteen thousand, nine hundred twenty".