206464440 has 384 divisors, whose sum is σ = 807831360. Its totient is φ = 41803776.

The previous prime is 206464429. The next prime is 206464441. The reversal of 206464440 is 44464602.

206464440 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 206464398 and 206464407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206464441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2828244 + ... + 2828316.

Almost surely, 2^206464440 is an apocalyptic number.

206464440 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 206464440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403915680).

206464440 is an abundant number, since it is smaller than the sum of its proper divisors (601366920).

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

206464440 is a wasteful number, since it uses less digits than its factorization.

206464440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 206464440 is about 14368.8705192858. The cubic root of 206464440 is about 591.0375690800.

The spelling of 206464440 in words is "two hundred six million, four hundred sixty-four thousand, four hundred forty".