205455642 has 64 divisors (see below), whose sum is σ = 518897664. Its totient is φ = 52842240.

The previous prime is 205455637. The next prime is 205455643. The reversal of 205455642 is 246554502.

205455642 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (205455643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10167 + ... + 22677.

It is an arithmetic number, because the mean of its divisors is an integer number (8107776).

Almost surely, 2^205455642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205455642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259448832).

205455642 is an abundant number, since it is smaller than the sum of its proper divisors (313442022).

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

205455642 is a wasteful number, since it uses less digits than its factorization.

205455642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12563.

The product of its (nonzero) digits is 48000, while the sum is 33.

The square root of 205455642 is about 14333.7239404141. The cubic root of 205455642 is about 590.0733816608.

The spelling of 205455642 in words is "two hundred five million, four hundred fifty-five thousand, six hundred forty-two".