205578240 has 224 divisors, whose sum is σ = 754928640. Its totient is φ = 46792704.

The previous prime is 205578239. The next prime is 205578257. The reversal of 205578240 is 42875502.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-4 number, since 4×205578240⁴ (a number of 34 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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, 860041 + ... + 860279.

Almost surely, 2^205578240 is an apocalyptic number.

205578240 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 205578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377464320).

205578240 is an abundant number, since it is smaller than the sum of its proper divisors (549350400).

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

205578240 is an equidigital number, since it uses as much as digits as its factorization.

205578240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 205578240 is about 14337.9998605105. Note that the first 3 decimals coincide. The cubic root of 205578240 is about 590.1907264259.

The spelling of 205578240 in words is "two hundred five million, five hundred seventy-eight thousand, two hundred forty".