205450542 has 96 divisors (see below), whose sum is σ = 522422784. Its totient is φ = 57657600.

The previous prime is 205450519. The next prime is 205450573. The reversal of 205450542 is 245054502.

205450542 is a `hidden beast` number, since 20 + 54 + 50 + 542 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225067 + ... + 225977.

It is an arithmetic number, because the mean of its divisors is an integer number (5441904).

Almost surely, 2^205450542 is an apocalyptic number.

205450542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 205450542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261211392).

205450542 is an abundant number, since it is smaller than the sum of its proper divisors (316972242).

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

205450542 is a wasteful number, since it uses less digits than its factorization.

205450542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 205450542 is about 14333.5460371814. The cubic root of 205450542 is about 590.0684991809.

The spelling of 205450542 in words is "two hundred five million, four hundred fifty thousand, five hundred forty-two".