206928400 has 120 divisors (see below), whose sum is σ = 572356224. Its totient is φ = 70425600.

The previous prime is 206928367. The next prime is 206928419. The reversal of 206928400 is 4829602.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 736260 + ... + 736540.

Almost surely, 2^206928400 is an apocalyptic number.

206928400 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 206928400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286178112).

206928400 is an abundant number, since it is smaller than the sum of its proper divisors (365427824).

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

206928400 is a wasteful number, since it uses less digits than its factorization.

206928400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 206928400 is about 14385.0060827238. The cubic root of 206928400 is about 591.4799578391.

It can be divided in two parts, 20692 and 8400, that added together give a palindrome (29092).

The spelling of 206928400 in words is "two hundred six million, nine hundred twenty-eight thousand, four hundred".