205046946 has 48 divisors (see below), whose sum is σ = 481735800. Its totient is φ = 62657280.

The previous prime is 205046921. The next prime is 205046971. The reversal of 205046946 is 649640502.

It is an interprime number because it is at equal distance from previous prime (205046921) and next prime (205046971).

It can be written as a sum of positive squares in 4 ways, for example, as 135140625 + 69906321 = 11625^2 + 8361^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 205046946.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31926 + ... + 37806.

Almost surely, 2^205046946 is an apocalyptic number.

205046946 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 205046946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240867900).

205046946 is an abundant number, since it is smaller than the sum of its proper divisors (276688854).

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

205046946 is a wasteful number, since it uses less digits than its factorization.

205046946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6051 (or 6048 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 205046946 is about 14319.4603948613. The cubic root of 205046946 is about 589.6818604669.

The spelling of 205046946 in words is "two hundred five million, forty-six thousand, nine hundred forty-six".