20434500 has 144 divisors (see below), whose sum is σ = 68140800. Its totient is φ = 5140800.

The previous prime is 20434499. The next prime is 20434501. The reversal of 20434500 is 543402.

It is a happy number.

20434500 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (20434499) and next prime (20434501).

It is a super-3 number, since 3×20434500³ (a number of 23 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20434501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85381 + ... + 85619.

It is an arithmetic number, because the mean of its divisors is an integer number (473200).

Almost surely, 2^20434500 is an apocalyptic number.

20434500 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 20434500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34070400).

20434500 is an abundant number, since it is smaller than the sum of its proper divisors (47706300).

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

20434500 is a wasteful number, since it uses less digits than its factorization.

20434500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 20434500 is about 4520.4535170710. The cubic root of 20434500 is about 273.3933868973.

Adding to 20434500 its reverse (543402), we get a palindrome (20977902).

The spelling of 20434500 in words is "twenty million, four hundred thirty-four thousand, five hundred".