10400000 has 108 divisors (see below), whose sum is σ = 27943524. Its totient is φ = 3840000.

The previous prime is 10399993. The next prime is 10400021. The reversal of 10400000 is 401.

It can be written as a sum of positive squares in 6 ways, for example, as 9834496 + 565504 = 3136^2 + 752^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 799994 + ... + 800006.

Almost surely, 2^10400000 is an apocalyptic number.

10400000 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 10400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13971762).

10400000 is an abundant number, since it is smaller than the sum of its proper divisors (17543524).

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

10400000 is an frugal number, since it uses more digits than its factorization.

10400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 10400000 is about 3224.9030993194. The cubic root of 10400000 is about 218.2785766122.

Adding to 10400000 its reverse (401), we get a palindrome (10400401).

It can be divided in two parts, 10 and 400000, that multiplied together give a square (4000000 = 2000²).

The spelling of 10400000 in words is "ten million, four hundred thousand".