30355200 has 324 divisors, whose sum is σ = 118617408. Its totient is φ = 7372800.

The previous prime is 30355181. The next prime is 30355201. The reversal of 30355200 is 255303.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30355201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 979185 + ... + 979215.

Almost surely, 2^30355200 is an apocalyptic number.

30355200 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 30355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59308704).

30355200 is an abundant number, since it is smaller than the sum of its proper divisors (88262208).

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

30355200 is a wasteful number, since it uses less digits than its factorization.

30355200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 30355200 is about 5509.5553359595. Note that the first 3 decimals coincide. The cubic root of 30355200 is about 311.9447633970.

The spelling of 30355200 in words is "thirty million, three hundred fifty-five thousand, two hundred".