208374048 has 144 divisors (see below), whose sum is σ = 624569400. Its totient is φ = 65802240.

The previous prime is 208374041. The next prime is 208374097. The reversal of 208374048 is 840473802.

It can be written as a sum of positive squares in 4 ways, for example, as 170772624 + 37601424 = 13068^2 + 6132^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (208374041) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 509268 + ... + 509676.

Almost surely, 2^208374048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208374048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312284700).

208374048 is an abundant number, since it is smaller than the sum of its proper divisors (416195352).

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

208374048 is a wasteful number, since it uses less digits than its factorization.

208374048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 208374048 is about 14435.1670582643. The cubic root of 208374048 is about 592.8541662930.

The spelling of 208374048 in words is "two hundred eight million, three hundred seventy-four thousand, forty-eight".