206629400 has 48 divisors (see below), whose sum is σ = 485411640. Its totient is φ = 81792000.

The previous prime is 206629393. The next prime is 206629411. The reversal of 206629400 is 4926602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14075 + ... + 24725.

Almost surely, 2^206629400 is an apocalyptic number.

206629400 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 206629400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242705820).

206629400 is an abundant number, since it is smaller than the sum of its proper divisors (278782240).

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

206629400 is a wasteful number, since it uses less digits than its factorization.

206629400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10764 (or 10755 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 206629400 is about 14374.6095599150. The cubic root of 206629400 is about 591.1949353281.

The spelling of 206629400 in words is "two hundred six million, six hundred twenty-nine thousand, four hundred".