208973952 has 256 divisors, whose sum is σ = 705024000. Its totient is φ = 60318720.

The previous prime is 208973927. The next prime is 208973953. The reversal of 208973952 is 259379802.

208973952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×208973952² = 87340225228996608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 208973898 and 208973907.

It is not an unprimeable number, because it can be changed into a prime (208973953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 874249 + ... + 874487.

It is an arithmetic number, because the mean of its divisors is an integer number (2754000).

Almost surely, 2^208973952 is an apocalyptic number.

208973952 is a gapful number since it is divisible by the number (22) 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 208973952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352512000).

208973952 is an abundant number, since it is smaller than the sum of its proper divisors (496050048).

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

208973952 is a wasteful number, since it uses less digits than its factorization.

208973952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 208973952 is about 14455.9313778117. The cubic root of 208973952 is about 593.4225589279.

The spelling of 208973952 in words is "two hundred eight million, nine hundred seventy-three thousand, nine hundred fifty-two".