205770460 has 48 divisors (see below), whose sum is σ = 494936064. Its totient is φ = 70394688.

The previous prime is 205770451. The next prime is 205770463. The reversal of 205770460 is 64077502.

It is a super-2 number, since 2×205770460² = 84682964417223200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205770463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75237 + ... + 77923.

It is an arithmetic number, because the mean of its divisors is an integer number (10311168).

Almost surely, 2^205770460 is an apocalyptic number.

205770460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205770460 is an abundant number, since it is smaller than the sum of its proper divisors (289165604).

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

205770460 is a wasteful number, since it uses less digits than its factorization.

205770460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3250 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 205770460 is about 14344.7014608182. The cubic root of 205770460 is about 590.3746160592.

The spelling of 205770460 in words is "two hundred five million, seven hundred seventy thousand, four hundred sixty".