30450 has 48 divisors (see below), whose sum is σ = 89280. Its totient is φ = 6720.

The previous prime is 30449. The next prime is 30467. The reversal of 30450 is 5403.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1036 + ... + 1064.

It is an arithmetic number, because the mean of its divisors is an integer number (1860).

2³⁰⁴⁵⁰ is an apocalyptic number.

30450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a pronic number, being equal to 174×175.

It is a practical number, because each smaller number is the sum of distinct divisors of 30450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44640).

30450 is an abundant number, since it is smaller than the sum of its proper divisors (58830).

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

30450 is a wasteful number, since it uses less digits than its factorization.

30450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 30450 is about 174.4992836662. The cubic root of 30450 is about 31.2269162861.

Adding to 30450 its reverse (5403), we get a palindrome (35853).

The spelling of 30450 in words is "thirty thousand, four hundred fifty".