206946440 has 64 divisors (see below), whose sum is σ = 495279360. Its totient is φ = 77552640.

The previous prime is 206946437. The next prime is 206946463. The reversal of 206946440 is 44649602.

It is a self number, because there is not a number n which added to its sum of digits gives 206946440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183719 + ... + 184841.

It is an arithmetic number, because the mean of its divisors is an integer number (7738740).

Almost surely, 2^206946440 is an apocalyptic number.

206946440 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 206946440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247639680).

206946440 is an abundant number, since it is smaller than the sum of its proper divisors (288332920).

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

206946440 is a wasteful number, since it uses less digits than its factorization.

206946440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 206946440 is about 14385.6331108506. The cubic root of 206946440 is about 591.4971457301.

The spelling of 206946440 in words is "two hundred six million, nine hundred forty-six thousand, four hundred forty".