205423488 has 96 divisors (see below), whose sum is σ = 616908240. Its totient is φ = 65488896.

The previous prime is 205423483. The next prime is 205423583. The reversal of 205423488 is 884324502.

205423488 is a `hidden beast` number, since 2 + 0 + 542 + 34 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×205423488² = 84397618844172288, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205423483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22620 + ... + 30372.

Almost surely, 2^205423488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205423488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308454120).

205423488 is an abundant number, since it is smaller than the sum of its proper divisors (411484752).

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

205423488 is a wasteful number, since it uses less digits than its factorization.

205423488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7796 (or 7781 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 205423488 is about 14332.6022759302. The cubic root of 205423488 is about 590.0425977096.

The spelling of 205423488 in words is "two hundred five million, four hundred twenty-three thousand, four hundred eighty-eight".