208052416 has 112 divisors (see below), whose sum is σ = 491581440. Its totient is φ = 86123520.

The previous prime is 208052407. The next prime is 208052437. The reversal of 208052416 is 614250802.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1162215 + ... + 1162393.

It is an arithmetic number, because the mean of its divisors is an integer number (4389120).

Almost surely, 2^208052416 is an apocalyptic number.

208052416 is a gapful number since it is divisible by the number (26) 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 208052416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245790720).

208052416 is an abundant number, since it is smaller than the sum of its proper divisors (283529024).

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

208052416 is a wasteful number, since it uses less digits than its factorization.

208052416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 208052416 is about 14424.0221852297. The cubic root of 208052416 is about 592.5489794353.

The spelling of 208052416 in words is "two hundred eight million, fifty-two thousand, four hundred sixteen".