10438200 has 96 divisors (see below), whose sum is σ = 35972400. Its totient is φ = 2782080.

The previous prime is 10438199. The next prime is 10438213. The reversal of 10438200 is 283401.

It is a happy number.

10438200 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 Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 4434 + ... + 6366.

Almost surely, 2^10438200 is an apocalyptic number.

10438200 is a gapful number since it is divisible by the number (10) 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 10438200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17986200).

10438200 is an abundant number, since it is smaller than the sum of its proper divisors (25534200).

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

10438200 is a wasteful number, since it uses less digits than its factorization.

10438200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10438200 is about 3230.8203292662. The cubic root of 10438200 is about 218.5455014009.

The spelling of 10438200 in words is "ten million, four hundred thirty-eight thousand, two hundred".