205914240 has 192 divisors, whose sum is σ = 812784960. Its totient is φ = 47056896.

The previous prime is 205914187. The next prime is 205914253. The reversal of 205914240 is 42419502.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37767 + ... + 42873.

It is an arithmetic number, because the mean of its divisors is an integer number (4233255).

Almost surely, 2^205914240 is an apocalyptic number.

205914240 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 205914240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406392480).

205914240 is an abundant number, since it is smaller than the sum of its proper divisors (606870720).

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

205914240 is a wasteful number, since it uses less digits than its factorization.

205914240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5139 (or 5124 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 205914240 is about 14349.7121922358. The cubic root of 205914240 is about 590.5120901154.

The spelling of 205914240 in words is "two hundred five million, nine hundred fourteen thousand, two hundred forty".