10432400 has 60 divisors (see below), whose sum is σ = 27353904. Its totient is φ = 3792000.

The previous prime is 10432381. The next prime is 10432417. The reversal of 10432400 is 423401.

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 11 ways as a sum of consecutive naturals, for example, 3215 + ... + 5585.

Almost surely, 2^10432400 is an apocalyptic number.

10432400 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 10432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13676952).

10432400 is an abundant number, since it is smaller than the sum of its proper divisors (16921504).

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

10432400 is a wasteful number, since it uses less digits than its factorization.

10432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400 (or 2389 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 10432400 is about 3229.9225996918. The cubic root of 10432400 is about 218.5050155331.

Adding to 10432400 its reverse (423401), we get a palindrome (10855801).

It can be divided in two parts, 1043 and 2400, that added together give a palindrome (3443).

The spelling of 10432400 in words is "ten million, four hundred thirty-two thousand, four hundred".