20483200 has 96 divisors (see below), whose sum is σ = 52267860. Its totient is φ = 7925760.

The previous prime is 20483191. The next prime is 20483201. The reversal of 20483200 is 238402.

It is a happy number.

20483200 is a nontrivial binomial coefficient, being equal to C(6401, 2).

It can be written as a sum of positive squares in 6 ways, for example, as 16451136 + 4032064 = 4056^2 + 2008^2 .

It is a super-2 number, since 2×20483200² = 839122964480000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20483201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118314 + ... + 118486.

Almost surely, 2^20483200 is an apocalyptic number.

20483200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20483200 is the 6400-th triangular number.

20483200 is the 2134-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26133930).

20483200 is an abundant number, since it is smaller than the sum of its proper divisors (31784660).

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

20483200 is a wasteful number, since it uses less digits than its factorization.

20483200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 20483200 is about 4525.8369391749. The cubic root of 20483200 is about 273.6104005257.

It can be divided in two parts, 2048 and 3200, that multiplied together give a square (6553600 = 2560²).

The spelling of 20483200 in words is "twenty million, four hundred eighty-three thousand, two hundred".