205040000 has 160 divisors (see below), whose sum is σ = 559227240. Its totient is φ = 74240000.

The previous prime is 205039981. The next prime is 205040027. The reversal of 205040000 is 40502.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (11).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 879884 + ... + 880116.

Almost surely, 2^205040000 is an apocalyptic number.

205040000 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 205040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279613620).

205040000 is an abundant number, since it is smaller than the sum of its proper divisors (354187240).

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

205040000 is an equidigital number, since it uses as much as digits as its factorization.

205040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 205040000 is about 14319.2178557350. The cubic root of 205040000 is about 589.6752018675.

Adding to 205040000 its reverse (40502), we get a palindrome (205080502).

The spelling of 205040000 in words is "two hundred five million, forty thousand".