205770480 has 160 divisors (see below), whose sum is σ = 662052864. Its totient is φ = 52835328.

The previous prime is 205770479. The next prime is 205770493. The reversal of 205770480 is 84077502.

205770480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1310562 + ... + 1310718.

Almost surely, 2^205770480 is an apocalyptic number.

205770480 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 205770480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331026432).

205770480 is an abundant number, since it is smaller than the sum of its proper divisors (456282384).

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

205770480 is a wasteful number, since it uses less digits than its factorization.

205770480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 205770480 is about 14344.7021579397. The cubic root of 205770480 is about 590.3746351865.

The spelling of 205770480 in words is "two hundred five million, seven hundred seventy thousand, four hundred eighty".