20430900 has 288 divisors, whose sum is σ = 79994880. Its totient is φ = 4371840.

The previous prime is 20430899. The next prime is 20430911. The reversal of 20430900 is 903402.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 434677 + ... + 434723.

It is an arithmetic number, because the mean of its divisors is an integer number (277760).

Almost surely, 2^20430900 is an apocalyptic number.

20430900 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 20430900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39997440).

20430900 is an abundant number, since it is smaller than the sum of its proper divisors (59563980).

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

20430900 is a wasteful number, since it uses less digits than its factorization.

20430900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 20430900 is about 4520.0553093961. The cubic root of 20430900 is about 273.3773311420.

The spelling of 20430900 in words is "twenty million, four hundred thirty thousand, nine hundred".