20431300 has 36 divisors (see below), whose sum is σ = 44629956. Its totient is φ = 8118400.

The previous prime is 20431277. The next prime is 20431303. The reversal of 20431300 is 313402.

20431300 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 6 ways, for example, as 2334784 + 18096516 = 1528^2 + 4254^2 .

It is not an unprimeable number, because it can be changed into a prime (20431303) 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, 16710 + ... + 17890.

It is an arithmetic number, because the mean of its divisors is an integer number (1239721).

Almost surely, 2^20431300 is an apocalyptic number.

20431300 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 20431300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22314978).

20431300 is an abundant number, since it is smaller than the sum of its proper divisors (24198656).

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

20431300 is a wasteful number, since it uses less digits than its factorization.

20431300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 20431300 is about 4520.0995564257. The cubic root of 20431300 is about 273.3791152079.

Adding to 20431300 its reverse (313402), we get a palindrome (20744702).

The spelling of 20431300 in words is "twenty million, four hundred thirty-one thousand, three hundred".