205453080 has 288 divisors, whose sum is σ = 818953200. Its totient is φ = 44416512.

The previous prime is 205453067. The next prime is 205453093. The reversal of 205453080 is 80354502.

205453080 is a `hidden beast` number, since 2 + 0 + 54 + 530 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (205453067) and next prime (205453093).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 334854 + ... + 335466.

Almost surely, 2^205453080 is an apocalyptic number.

205453080 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 205453080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409476600).

205453080 is an abundant number, since it is smaller than the sum of its proper divisors (613500120).

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

205453080 is a wasteful number, since it uses less digits than its factorization.

205453080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 649 counting only the distinct ones).

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

The square root of 205453080 is about 14333.6345704779. The cubic root of 205453080 is about 590.0709289428.

The spelling of 205453080 in words is "two hundred five million, four hundred fifty-three thousand, eighty".