10400208 has 80 divisors (see below), whose sum is σ = 33081216. Its totient is φ = 2741760.

The previous prime is 10400189. The next prime is 10400231. The reversal of 10400208 is 80200401.

10400208 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3178 + ... + 5558.

Almost surely, 2^10400208 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 10400208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16540608).

10400208 is an abundant number, since it is smaller than the sum of its proper divisors (22681008).

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

10400208 is a wasteful number, since it uses less digits than its factorization.

10400208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2412 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 10400208 is about 3224.9353481892. The cubic root of 10400208 is about 218.2800317930.

Adding to 10400208 its reverse (80200401), we get a palindrome (90600609).

The spelling of 10400208 in words is "ten million, four hundred thousand, two hundred eight".