205440000 has 220 divisors, whose sum is σ = 690641424. Its totient is φ = 54272000.

The previous prime is 205439987. The next prime is 205440043. The reversal of 205440000 is 44502.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 1919947 + ... + 1920053.

Almost surely, 2^205440000 is an apocalyptic number.

205440000 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 205440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345320712).

205440000 is an abundant number, since it is smaller than the sum of its proper divisors (485201424).

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

205440000 is an equidigital number, since it uses as much as digits as its factorization.

205440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 205440000 is about 14333.1782937351. The cubic root of 205440000 is about 590.0584065515.

Adding to 205440000 its reverse (44502), we get a palindrome (205484502).

The spelling of 205440000 in words is "two hundred five million, four hundred forty thousand".