205302480 has 40 divisors (see below), whose sum is σ = 636438432. Its totient is φ = 54747264.

The previous prime is 205302451. The next prime is 205302509. The reversal of 205302480 is 84203502.

205302480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (205302451) and next prime (205302509).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 205302480.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 427474 + ... + 427953.

Almost surely, 2^205302480 is an apocalyptic number.

205302480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205302480 is an abundant number, since it is smaller than the sum of its proper divisors (431135952).

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

205302480 is a wasteful number, since it uses less digits than its factorization.

205302480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855443 (or 855437 counting only the distinct ones).

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

The square root of 205302480 is about 14328.3802294607. The cubic root of 205302480 is about 589.9267169346.

Adding to 205302480 its reverse (84203502), we get a palindrome (289505982).

The spelling of 205302480 in words is "two hundred five million, three hundred two thousand, four hundred eighty".