206144400 has 480 divisors, whose sum is σ = 867944448. Its totient is φ = 40550400.

The previous prime is 206144387. The next prime is 206144429. The reversal of 206144400 is 4441602.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2125152 + ... + 2125248.

Almost surely, 2^206144400 is an apocalyptic number.

206144400 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 206144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433972224).

206144400 is an abundant number, since it is smaller than the sum of its proper divisors (661800048).

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

206144400 is a wasteful number, since it uses less digits than its factorization.

206144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 206144400 is about 14357.7296255362. The cubic root of 206144400 is about 590.7320225422.

The spelling of 206144400 in words is "two hundred six million, one hundred forty-four thousand, four hundred".