208445952 has 240 divisors, whose sum is σ = 664966368. Its totient is φ = 57507840.

The previous prime is 208445899. The next prime is 208445969. The reversal of 208445952 is 259544802.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 208445952.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2855388 + ... + 2855460.

Almost surely, 2^208445952 is an apocalyptic number.

208445952 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 208445952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332483184).

208445952 is an abundant number, since it is smaller than the sum of its proper divisors (456520416).

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

208445952 is a wasteful number, since it uses less digits than its factorization.

208445952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 208445952 is about 14437.6574277131. The cubic root of 208445952 is about 592.9223508614.

It can be divided in two parts, 20844 and 5952, that added together give a triangular number (26796 = T₂₃₁).

The spelling of 208445952 in words is "two hundred eight million, four hundred forty-five thousand, nine hundred fifty-two".