205745046 has 64 divisors (see below), whose sum is σ = 455813568. Its totient is φ = 61521408.

The previous prime is 205745041. The next prime is 205745069. The reversal of 205745046 is 640547502.

205745046 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 205744998 and 205745016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205745041) 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, 648880 + ... + 649196.

It is an arithmetic number, because the mean of its divisors is an integer number (7122087).

Almost surely, 2^205745046 is an apocalyptic number.

205745046 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 205745046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227906784).

205745046 is an abundant number, since it is smaller than the sum of its proper divisors (250068522).

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

205745046 is a wasteful number, since it uses less digits than its factorization.

205745046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545.

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 205745046 is about 14343.8156011572. The cubic root of 205745046 is about 590.3503100141.

The spelling of 205745046 in words is "two hundred five million, seven hundred forty-five thousand, forty-six".