208422480 has 240 divisors, whose sum is σ = 773521920. Its totient is φ = 46255104.

The previous prime is 208422469. The next prime is 208422493. The reversal of 208422480 is 84224802.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 434881 + ... + 435359.

It is an arithmetic number, because the mean of its divisors is an integer number (3223008).

Almost surely, 2^208422480 is an apocalyptic number.

208422480 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 208422480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386760960).

208422480 is an abundant number, since it is smaller than the sum of its proper divisors (565099440).

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

208422480 is a wasteful number, since it uses less digits than its factorization.

208422480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 208422480 is about 14436.8445305752. The cubic root of 208422480 is about 592.9000947391.

The spelling of 208422480 in words is "two hundred eight million, four hundred twenty-two thousand, four hundred eighty".