205416252 has 36 divisors (see below), whose sum is σ = 519948520. Its totient is φ = 68379552.

The previous prime is 205416241. The next prime is 205416301. The reversal of 205416252 is 252614502.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×205416252³ (a number of 26 digits) contains 333 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26403 + ... + 33285.

Almost surely, 2^205416252 is an apocalyptic number.

It is an amenable number.

205416252 is an abundant number, since it is smaller than the sum of its proper divisors (314532268).

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

205416252 is a wasteful number, since it uses less digits than its factorization.

205416252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7722 (or 7717 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 205416252 is about 14332.3498422275. The cubic root of 205416252 is about 590.0356695853.

The spelling of 205416252 in words is "two hundred five million, four hundred sixteen thousand, two hundred fifty-two".