10430400 has 168 divisors, whose sum is σ = 35716464. Its totient is φ = 2662400.

The previous prime is 10430389. The next prime is 10430417. The reversal of 10430400 is 403401.

10430400 is digitally balanced in base 2, 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 (12).

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, 196774 + ... + 196826.

It is an arithmetic number, because the mean of its divisors is an integer number (212598).

Almost surely, 2^10430400 is an apocalyptic number.

10430400 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 10430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17858232).

10430400 is an abundant number, since it is smaller than the sum of its proper divisors (25286064).

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

10430400 is a wasteful number, since it uses less digits than its factorization.

10430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 10430400 is about 3229.6129799095. The cubic root of 10430400 is about 218.4910514098.

Adding to 10430400 its reverse (403401), we get a palindrome (10833801).

The spelling of 10430400 in words is "ten million, four hundred thirty thousand, four hundred".