10454400 has 288 divisors, whose sum is σ = 42054600. Its totient is φ = 2534400.

The previous prime is 10454399. The next prime is 10454407. The reversal of 10454400 is 445401.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10454407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 950395 + ... + 950405.

Almost surely, 2^10454400 is an apocalyptic number.

10454400 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 10454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21027300).

10454400 is an abundant number, since it is smaller than the sum of its proper divisors (31600200).

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

10454400 is a wasteful number, since it uses less digits than its factorization.

10454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 10454400 is about 3233.3264604738. The cubic root of 10454400 is about 218.6585032315.

Adding to 10454400 its reverse (445401), we get a palindrome (10899801).

It can be divided in two parts, 1045 and 4400, that added together give a palindrome (5445).

The spelling of 10454400 in words is "ten million, four hundred fifty-four thousand, four hundred".