206040400 has 60 divisors (see below), whose sum is σ = 496521792. Its totient is φ = 82165120.

The previous prime is 206040379. The next prime is 206040451. The reversal of 206040400 is 4040602.

206040400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 186249 + ... + 187351.

Almost surely, 2^206040400 is an apocalyptic number.

206040400 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 206040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248260896).

206040400 is an abundant number, since it is smaller than the sum of its proper divisors (290481392).

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

206040400 is a wasteful number, since it uses less digits than its factorization.

206040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1577 counting only the distinct ones).

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

The square root of 206040400 is about 14354.1074260993. The cubic root of 206040400 is about 590.6326642530.

The spelling of 206040400 in words is "two hundred six million, forty thousand, four hundred".