208464 has 40 divisors (see below), whose sum is σ = 556512. Its totient is φ = 67200.

The previous prime is 208463. The next prime is 208469. The reversal of 208464 is 464802.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 208464.

It is not an unprimeable number, because it can be changed into a prime (208463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2014 + ... + 2114.

2²⁰⁸⁴⁶⁴ is an apocalyptic number.

208464 is a gapful number since it is divisible by the number (24) 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 208464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278256).

208464 is an abundant number, since it is smaller than the sum of its proper divisors (348048).

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

208464 is a wasteful number, since it uses less digits than its factorization.

208464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 208464 is about 456.5785803123. The cubic root of 208464 is about 59.2939462817.

The spelling of 208464 in words is "two hundred eight thousand, four hundred sixty-four".