30355420 has 48 divisors (see below), whose sum is σ = 66705408. Its totient is φ = 11592000.

The previous prime is 30355397. The next prime is 30355427. The reversal of 30355420 is 2455303.

It is a junction number, because it is equal to n+sod(n) for n = 30355391 and 30355400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30355427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40045 + ... + 40795.

It is an arithmetic number, because the mean of its divisors is an integer number (1389696).

Almost surely, 2^30355420 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 30355420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33352704).

30355420 is an abundant number, since it is smaller than the sum of its proper divisors (36349988).

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

30355420 is a wasteful number, since it uses less digits than its factorization.

30355420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 22.

The square root of 30355420 is about 5509.5753012369. The cubic root of 30355420 is about 311.9455170041.

The spelling of 30355420 in words is "thirty million, three hundred fifty-five thousand, four hundred twenty".