205629952 has 80 divisors (see below), whose sum is σ = 464032800. Its totient is φ = 90173440.

The previous prime is 205629947. The next prime is 205629953. The reversal of 205629952 is 259926502.

It is not an unprimeable number, because it can be changed into a prime (205629953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162699 + ... + 163957.

It is an arithmetic number, because the mean of its divisors is an integer number (5800410).

Almost surely, 2^205629952 is an apocalyptic number.

205629952 is a gapful number since it is divisible by the number (22) 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 205629952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232016400).

205629952 is an abundant number, since it is smaller than the sum of its proper divisors (258402848).

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

205629952 is a wasteful number, since it uses less digits than its factorization.

205629952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 40.

The square root of 205629952 is about 14339.8030669881. The cubic root of 205629952 is about 590.2402086152.

The spelling of 205629952 in words is "two hundred five million, six hundred twenty-nine thousand, nine hundred fifty-two".