208456480 has 48 divisors (see below), whose sum is σ = 495028800. Its totient is φ = 82950912.

The previous prime is 208456453. The next prime is 208456519. The reversal of 208456480 is 84654802.

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, 28567 + ... + 35113.

It is an arithmetic number, because the mean of its divisors is an integer number (10313100).

Almost surely, 2^208456480 is an apocalyptic number.

208456480 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 208456480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247514400).

208456480 is an abundant number, since it is smaller than the sum of its proper divisors (286572320).

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

208456480 is a wasteful number, since it uses less digits than its factorization.

208456480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6761 (or 6753 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 208456480 is about 14438.0220251944. The cubic root of 208456480 is about 592.9323329557.

It can be divided in two parts, 2084 and 56480, that added together give a square (58564 = 242²).

The spelling of 208456480 in words is "two hundred eight million, four hundred fifty-six thousand, four hundred eighty".