10238400 has 210 divisors, whose sum is σ = 38110160. Its totient is φ = 2695680.

The previous prime is 10238399. The next prime is 10238411. The reversal of 10238400 is 483201.

It is a happy number.

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 29 ways as a sum of consecutive naturals, for example, 129561 + ... + 129639.

Almost surely, 2^10238400 is an apocalyptic number.

10238400 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 10238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19055080).

10238400 is an abundant number, since it is smaller than the sum of its proper divisors (27871760).

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

10238400 is an equidigital number, since it uses as much as digits as its factorization.

10238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 89 counting only the distinct ones).

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

The square root of 10238400 is about 3199.7499902336. The cubic root of 10238400 is about 217.1420986651.

The spelling of 10238400 in words is "ten million, two hundred thirty-eight thousand, four hundred".