10442400 has 144 divisors (see below), whose sum is σ = 35935200. Its totient is φ = 2626560.

The previous prime is 10442363. The next prime is 10442401. The reversal of 10442400 is 424401.

10442400 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10442400.

It is not an unprimeable number, because it can be changed into a prime (10442401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45486 + ... + 45714.

It is an arithmetic number, because the mean of its divisors is an integer number (249550).

Almost surely, 2^10442400 is an apocalyptic number.

10442400 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 10442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17967600).

10442400 is an abundant number, since it is smaller than the sum of its proper divisors (25492800).

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

10442400 is a wasteful number, since it uses less digits than its factorization.

10442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 258 counting only the distinct ones).

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

The square root of 10442400 is about 3231.4702536152. The cubic root of 10442400 is about 218.5748093922.

Adding to 10442400 its reverse (424401), we get a palindrome (10866801).

The spelling of 10442400 in words is "ten million, four hundred forty-two thousand, four hundred".