10424400 has 240 divisors, whose sum is σ = 40961664. Its totient is φ = 2211840.

The previous prime is 10424399. The next prime is 10424413. The reversal of 10424400 is 442401.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10424400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142764 + ... + 142836.

Almost surely, 2^10424400 is an apocalyptic number.

10424400 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 10424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20480832).

10424400 is an abundant number, since it is smaller than the sum of its proper divisors (30537264).

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

10424400 is a wasteful number, since it uses less digits than its factorization.

10424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 10424400 is about 3228.6839424137. The cubic root of 10424400 is about 218.4491483265.

Adding to 10424400 its reverse (442401), we get a palindrome (10866801).

The spelling of 10424400 in words is "ten million, four hundred twenty-four thousand, four hundred".