205472480 has 48 divisors (see below), whose sum is σ = 486504144. Its totient is φ = 82007040.

The previous prime is 205472419. The next prime is 205472483. The reversal of 205472480 is 84274502.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205472483) by changing a digit.

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, 88940 + ... + 91220.

It is an arithmetic number, because the mean of its divisors is an integer number (10135503).

Almost surely, 2^205472480 is an apocalyptic number.

205472480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205472480 is an abundant number, since it is smaller than the sum of its proper divisors (281031664).

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

205472480 is a wasteful number, since it uses less digits than its factorization.

205472480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2859 (or 2851 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

The square root of 205472480 is about 14334.3112844671. The cubic root of 205472480 is about 590.0895009297.

The spelling of 205472480 in words is "two hundred five million, four hundred seventy-two thousand, four hundred eighty".