206400150 has 240 divisors, whose sum is σ = 646552368. Its totient is φ = 48384000.

The previous prime is 206400119. The next prime is 206400157. The reversal of 206400150 is 51004602.

It is a happy number.

206400150 is a `hidden beast` number, since 20 + 640 + 0 + 1 + 5 + 0 = 666.

206400150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×206400150³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206400157) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1826494 + ... + 1826606.

Almost surely, 2^206400150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206400150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323276184).

206400150 is an abundant number, since it is smaller than the sum of its proper divisors (440152218).

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

206400150 is a wasteful number, since it uses less digits than its factorization.

206400150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 206400150 is about 14366.6332172851. The cubic root of 206400150 is about 590.9762158998.

Adding to 206400150 its reverse (51004602), we get a palindrome (257404752).

The spelling of 206400150 in words is "two hundred six million, four hundred thousand, one hundred fifty".