30400 has 42 divisors (see below), whose sum is σ = 78740. Its totient is φ = 11520.

The previous prime is 30391. The next prime is 30403. The reversal of 30400 is 403.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (30403) by changing a digit.

30400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1591 + ... + 1609.

2³⁰⁴⁰⁰ 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 30400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39370).

30400 is an abundant number, since it is smaller than the sum of its proper divisors (48340).

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

30400 is a wasteful number, since it uses less digits than its factorization.

30400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 7.

The square root of 30400 is about 174.3559577416. The cubic root of 30400 is about 31.2098150142.

Adding to 30400 its reverse (403), we get a palindrome (30803).

The spelling of 30400 in words is "thirty thousand, four hundred".