205734480 has 160 divisors (see below), whose sum is σ = 734619648. Its totient is φ = 46656000.

The previous prime is 205734469. The next prime is 205734523. The reversal of 205734480 is 84437502.

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, 253275 + ... + 254085.

Almost surely, 2^205734480 is an apocalyptic number.

205734480 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 205734480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367309824).

205734480 is an abundant number, since it is smaller than the sum of its proper divisors (528885168).

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

205734480 is a wasteful number, since it uses less digits than its factorization.

205734480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 205734480 is about 14343.4472843874. The cubic root of 205734480 is about 590.3402040630.

The spelling of 205734480 in words is "two hundred five million, seven hundred thirty-four thousand, four hundred eighty".