205006464 has 224 divisors, whose sum is σ = 663341700. Its totient is φ = 63078912.

The previous prime is 205006463. The next prime is 205006511. The reversal of 205006464 is 464600502.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 63872064 + 141134400 = 7992^2 + 11880^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (205006463) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 15769722 + ... + 15769734.

Almost surely, 2^205006464 is an apocalyptic number.

205006464 is a gapful number since it is divisible by the number (24) 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 205006464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331670850).

205006464 is an abundant number, since it is smaller than the sum of its proper divisors (458335236).

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

205006464 is an frugal number, since it uses more digits than its factorization.

205006464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 205006464 is about 14318.0467941685. The cubic root of 205006464 is about 589.6430513508.

Adding to 205006464 its reverse (464600502), we get a palindrome (669606966).

The spelling of 205006464 in words is "two hundred five million, six thousand, four hundred sixty-four".