209664480 has 48 divisors (see below), whose sum is σ = 660444624. Its totient is φ = 55910400.

The previous prime is 209664479. The next prime is 209664493. The reversal of 209664480 is 84466902.

It is a tau number, because it is divible by the number of its divisors (48).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217921 + ... + 218880.

It is an arithmetic number, because the mean of its divisors is an integer number (13759263).

Almost surely, 2^209664480 is an apocalyptic number.

209664480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

209664480 is an abundant number, since it is smaller than the sum of its proper divisors (450780144).

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

209664480 is a wasteful number, since it uses less digits than its factorization.

209664480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436819 (or 436811 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 209664480 is about 14479.7955786675. The cubic root of 209664480 is about 594.0754702371.

The spelling of 209664480 in words is "two hundred nine million, six hundred sixty-four thousand, four hundred eighty".