205414000 has 80 divisors (see below), whose sum is σ = 541902816. Its totient is φ = 74688000.

The previous prime is 205413979. The next prime is 205414019. The reversal of 205414000 is 414502.

205414000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×205414000² = 84389822792000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17332 + ... + 26668.

Almost surely, 2^205414000 is an apocalyptic number.

205414000 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 205414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270951408).

205414000 is an abundant number, since it is smaller than the sum of its proper divisors (336488816).

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

205414000 is a wasteful number, since it uses less digits than its factorization.

205414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9371 (or 9355 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 205414000 is about 14332.2712784820. The cubic root of 205414000 is about 590.0335133697.

Adding to 205414000 its reverse (414502), we get a palindrome (205828502).

The spelling of 205414000 in words is "two hundred five million, four hundred fourteen thousand".