205729920 has 384 divisors, whose sum is σ = 824878080. Its totient is φ = 46694400.

The previous prime is 205729907. The next prime is 205729933. The reversal of 205729920 is 29927502.

It is an interprime number because it is at equal distance from previous prime (205729907) and next prime (205729933).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1077025 + ... + 1077215.

It is an arithmetic number, because the mean of its divisors is an integer number (2148120).

Almost surely, 2^205729920 is an apocalyptic number.

205729920 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 205729920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412439040).

205729920 is an abundant number, since it is smaller than the sum of its proper divisors (619148160).

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

205729920 is a wasteful number, since it uses less digits than its factorization.

205729920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 205729920 is about 14343.2883259035. The cubic root of 205729920 is about 590.3358425007.

The spelling of 205729920 in words is "two hundred five million, seven hundred twenty-nine thousand, nine hundred twenty".