208486400 has 90 divisors (see below), whose sum is σ = 518046270. Its totient is φ = 83230720.

The previous prime is 208486393. The next prime is 208486427. The reversal of 208486400 is 4684802.

It can be written as a sum of positive squares in 3 ways, for example, as 34668544 + 173817856 = 5888^2 + 13184^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 409346 + ... + 409854.

Almost surely, 2^208486400 is an apocalyptic number.

208486400 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 208486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259023135).

208486400 is an abundant number, since it is smaller than the sum of its proper divisors (309559870).

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

208486400 is an frugal number, since it uses more digits than its factorization.

208486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 208486400 is about 14439.0581410285. The cubic root of 208486400 is about 592.9606996867.

The spelling of 208486400 in words is "two hundred eight million, four hundred eighty-six thousand, four hundred".