20330400 has 144 divisors (see below), whose sum is σ = 68058144. Its totient is φ = 5268480.

The previous prime is 20330371. The next prime is 20330407. The reversal of 20330400 is 403302.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (20330407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103102 + ... + 103298.

It is an arithmetic number, because the mean of its divisors is an integer number (472626).

Almost surely, 2^20330400 is an apocalyptic number.

20330400 is a gapful number since it is divisible by the number (20) 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 20330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34029072).

20330400 is an abundant number, since it is smaller than the sum of its proper divisors (47727744).

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

20330400 is a wasteful number, since it uses less digits than its factorization.

20330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 20330400 is about 4508.9244837322. The cubic root of 20330400 is about 272.9283446498.

Adding to 20330400 its reverse (403302), we get a palindrome (20733702).

It can be divided in two parts, 203 and 30400, that added together give a palindrome (30603).

The spelling of 20330400 in words is "twenty million, three hundred thirty thousand, four hundred".