205420540 has 96 divisors (see below), whose sum is σ = 480372480. Its totient is φ = 73322496.

The previous prime is 205420517. The next prime is 205420541. The reversal of 205420540 is 45024502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205420541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1499352 + ... + 1499488.

It is an arithmetic number, because the mean of its divisors is an integer number (5003880).

Almost surely, 2^205420540 is an apocalyptic number.

205420540 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 205420540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240186240).

205420540 is an abundant number, since it is smaller than the sum of its proper divisors (274951940).

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

205420540 is a wasteful number, since it uses less digits than its factorization.

205420540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 205420540 is about 14332.4994331066. The cubic root of 205420540 is about 590.0397751601.

The spelling of 205420540 in words is "two hundred five million, four hundred twenty thousand, five hundred forty".