208216440 has 256 divisors, whose sum is σ = 745920000. Its totient is φ = 51508224.

The previous prime is 208216423. The next prime is 208216441. The reversal of 208216440 is 44612802.

208216440 is a `hidden beast` number, since 2 + 0 + 8 + 216 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208216441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1497891 + ... + 1498029.

It is an arithmetic number, because the mean of its divisors is an integer number (2913750).

Almost surely, 2^208216440 is an apocalyptic number.

208216440 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 208216440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372960000).

208216440 is an abundant number, since it is smaller than the sum of its proper divisors (537703560).

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

208216440 is a wasteful number, since it uses less digits than its factorization.

208216440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 208216440 is about 14429.7068577293. The cubic root of 208216440 is about 592.7046561080.

It can be divided in two parts, 20821 and 6440, that added together give a triangular number (27261 = T₂₃₃).

The spelling of 208216440 in words is "two hundred eight million, two hundred sixteen thousand, four hundred forty".