10470400 has 66 divisors (see below), whose sum is σ = 26017370. Its totient is φ = 4177920.

The previous prime is 10470389. The next prime is 10470403. The reversal of 10470400 is 407401.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2359296 + 8111104 = 1536^2 + 2848^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10470403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25396 + ... + 25804.

Almost surely, 2^10470400 is an apocalyptic number.

10470400 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 10470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13008685).

10470400 is an abundant number, since it is smaller than the sum of its proper divisors (15546970).

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

10470400 is an equidigital number, since it uses as much as digits as its factorization.

10470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 10470400 is about 3235.7997465851. The cubic root of 10470400 is about 218.7699954511.

Adding to 10470400 its reverse (407401), we get a palindrome (10877801).

The spelling of 10470400 in words is "ten million, four hundred seventy thousand, four hundred".