206828460 has 144 divisors (see below), whose sum is σ = 669404736. Its totient is φ = 51511296.

The previous prime is 206828441. The next prime is 206828513. The reversal of 206828460 is 64828602.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 786289 + ... + 786551.

It is an arithmetic number, because the mean of its divisors is an integer number (4648644).

Almost surely, 2^206828460 is an apocalyptic number.

206828460 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 206828460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334702368).

206828460 is an abundant number, since it is smaller than the sum of its proper divisors (462576276).

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

206828460 is a wasteful number, since it uses less digits than its factorization.

206828460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 206828460 is about 14381.5319072761. The cubic root of 206828460 is about 591.3847203463.

The spelling of 206828460 in words is "two hundred six million, eight hundred twenty-eight thousand, four hundred sixty".