20205460 has 48 divisors (see below), whose sum is σ = 47900160. Its totient is φ = 7091840.

The previous prime is 20205389. The next prime is 20205467. The reversal of 20205460 is 6450202.

20205460 = 435² + 436² + ... + 522².

It is a super-2 number, since 2×20205460² = 816521227623200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20205467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4797 + ... + 7963.

It is an arithmetic number, because the mean of its divisors is an integer number (997920).

Almost surely, 2^20205460 is an apocalyptic number.

20205460 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 20205460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23950080).

20205460 is an abundant number, since it is smaller than the sum of its proper divisors (27694700).

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

20205460 is a wasteful number, since it uses less digits than its factorization.

20205460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3216 (or 3214 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 20205460 is about 4495.0483868363. The cubic root of 20205460 is about 272.3681038322.

Adding to 20205460 its reverse (6450202), we get a palindrome (26655662).

The spelling of 20205460 in words is "twenty million, two hundred five thousand, four hundred sixty".