20430800 has 60 divisors (see below), whose sum is σ = 52874220. Its totient is φ = 7541760.

The previous prime is 20430799. The next prime is 20430827. The reversal of 20430800 is 803402.

It can be written as a sum of positive squares in 6 ways, for example, as 5345344 + 15085456 = 2312^2 + 3884^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3236 + ... + 7164.

It is an arithmetic number, because the mean of its divisors is an integer number (881237).

Almost surely, 2^20430800 is an apocalyptic number.

20430800 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 20430800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26437110).

20430800 is an abundant number, since it is smaller than the sum of its proper divisors (32443420).

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

20430800 is a wasteful number, since it uses less digits than its factorization.

20430800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3960 (or 3949 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 20430800 is about 4520.0442475710. The cubic root of 20430800 is about 273.3768851219.

The spelling of 20430800 in words is "twenty million, four hundred thirty thousand, eight hundred".