205464480 has 192 divisors, whose sum is σ = 734106240. Its totient is φ = 47886336.

The previous prime is 205464443. The next prime is 205464481. The reversal of 205464480 is 84464502.

It is not an unprimeable number, because it can be changed into a prime (205464481) 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 31 ways as a sum of consecutive naturals, for example, 117694 + ... + 119426.

It is an arithmetic number, because the mean of its divisors is an integer number (3823470).

Almost surely, 2^205464480 is an apocalyptic number.

205464480 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 205464480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367053120).

205464480 is an abundant number, since it is smaller than the sum of its proper divisors (528641760).

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

205464480 is a wasteful number, since it uses less digits than its factorization.

205464480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 205464480 is about 14334.0322310228. The cubic root of 205464480 is about 590.0818425200.

The spelling of 205464480 in words is "two hundred five million, four hundred sixty-four thousand, four hundred eighty".