10456400 has 30 divisors (see below), whose sum is σ = 25122462. Its totient is φ = 4182400.

The previous prime is 10456379. The next prime is 10456451. The reversal of 10456400 is 465401.

It is a happy number.

10456400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1263376 + 9193024 = 1124^2 + 3032^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12671 + ... + 13470.

Almost surely, 2^10456400 is an apocalyptic number.

10456400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10456400 is an abundant number, since it is smaller than the sum of its proper divisors (14666062).

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

10456400 is a wasteful number, since it uses less digits than its factorization.

10456400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26159 (or 26148 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 10456400 is about 3233.6357246913. The cubic root of 10456400 is about 218.6724459772.

Subtracting from 10456400 its reverse (465401), we obtain a palindrome (9990999).

The spelling of 10456400 in words is "ten million, four hundred fifty-six thousand, four hundred".