206201408 has 84 divisors (see below), whose sum is σ = 486460800. Its totient is φ = 86429952.

The previous prime is 206201389. The next prime is 206201459. The reversal of 206201408 is 804102602.

It is a super-2 number, since 2×206201408² = 85038041322364928, which contains 22 as substring.

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, 146693 + ... + 148091.

It is an arithmetic number, because the mean of its divisors is an integer number (5791200).

Almost surely, 2^206201408 is an apocalyptic number.

206201408 is a gapful number since it is divisible by the number (28) 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 206201408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243230400).

206201408 is an abundant number, since it is smaller than the sum of its proper divisors (280259392).

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

206201408 is a wasteful number, since it uses less digits than its factorization.

206201408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 206201408 is about 14359.7147603983. The cubic root of 206201408 is about 590.7864719917.

The spelling of 206201408 in words is "two hundred six million, two hundred one thousand, four hundred eight".