206220400 has 60 divisors (see below), whose sum is σ = 499143400. Its totient is φ = 81872640.

The previous prime is 206220397. The next prime is 206220503. The reversal of 206220400 is 4022602.

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 11 ways as a sum of consecutive naturals, for example, 53746 + ... + 57454.

Almost surely, 2^206220400 is an apocalyptic number.

206220400 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 206220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249571700).

206220400 is an abundant number, since it is smaller than the sum of its proper divisors (292923000).

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

206220400 is a wasteful number, since it uses less digits than its factorization.

206220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3866 (or 3855 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 206220400 is about 14360.3760396446. The cubic root of 206220400 is about 590.8046093916.

The spelling of 206220400 in words is "two hundred six million, two hundred twenty thousand, four hundred".