205473680 has 40 divisors (see below), whose sum is σ = 478790784. Its totient is φ = 82006400.

The previous prime is 205473661. The next prime is 205473689. The reversal of 205473680 is 86374502.

It is a happy number.

205473680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 205473680.

It is not an unprimeable number, because it can be changed into a prime (205473689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36665 + ... + 41895.

Almost surely, 2^205473680 is an apocalyptic number.

205473680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205473680 is an abundant number, since it is smaller than the sum of its proper divisors (273317104).

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

205473680 is a wasteful number, since it uses less digits than its factorization.

205473680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5735 (or 5729 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 205473680 is about 14334.3531420152. The cubic root of 205473680 is about 590.0906496740.

The spelling of 205473680 in words is "two hundred five million, four hundred seventy-three thousand, six hundred eighty".