20405210460 has 96 divisors (see below), whose sum is σ = 59402149632. Its totient is φ = 5229396480.

The previous prime is 20405210459. The next prime is 20405210471. The reversal of 20405210460 is 6401250402.

It is a super-2 number, since 2×20405210460² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20405210460.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102919 + ... + 226721.

It is an arithmetic number, because the mean of its divisors is an integer number (618772392).

Almost surely, 2^20405210460 is an apocalyptic number.

20405210460 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 20405210460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29701074816).

20405210460 is an abundant number, since it is smaller than the sum of its proper divisors (38996939172).

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

20405210460 is a wasteful number, since it uses less digits than its factorization.

20405210460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123923 (or 123921 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 20405210460 its reverse (6401250402), we get a palindrome (26806460862).

The spelling of 20405210460 in words is "twenty billion, four hundred five million, two hundred ten thousand, four hundred sixty".