208400904 has 128 divisors (see below), whose sum is σ = 597196800. Its totient is φ = 67314240.

The previous prime is 208400869. The next prime is 208400923. The reversal of 208400904 is 409004802.

208400904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1640889 + ... + 1641015.

It is an arithmetic number, because the mean of its divisors is an integer number (4665600).

Almost surely, 2^208400904 is an apocalyptic number.

208400904 is a gapful number since it is divisible by the number (24) 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 208400904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298598400).

208400904 is an abundant number, since it is smaller than the sum of its proper divisors (388795896).

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

208400904 is a wasteful number, since it uses less digits than its factorization.

208400904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 208400904 is about 14436.0972565302. The cubic root of 208400904 is about 592.8796349277.

The spelling of 208400904 in words is "two hundred eight million, four hundred thousand, nine hundred four".