205483488 has 96 divisors (see below), whose sum is σ = 652748544. Its totient is φ = 55252992.

The previous prime is 205483463. The next prime is 205483493. The reversal of 205483488 is 884384502.

It is a happy number.

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

It is a super-2 number, since 2×205483488² = 84446927681292288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2431 + ... + 20417.

It is an arithmetic number, because the mean of its divisors is an integer number (6799464).

Almost surely, 2^205483488 is an apocalyptic number.

205483488 is a gapful number since it is divisible by the number (28) 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 205483488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326374272).

205483488 is an abundant number, since it is smaller than the sum of its proper divisors (447265056).

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

205483488 is a wasteful number, since it uses less digits than its factorization.

205483488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18024 (or 18016 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The square root of 205483488 is about 14334.6952531262. The cubic root of 205483488 is about 590.1000385764.

The spelling of 205483488 in words is "two hundred five million, four hundred eighty-three thousand, four hundred eighty-eight".