10000400 has 60 divisors (see below), whose sum is σ = 25093632. Its totient is φ = 3822720.

The previous prime is 10000379. The next prime is 10000439. The reversal of 10000400 is 400001.

10000400 = T₉₂₁ + T₉₂₂ + ... + T₉₄₃.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8657 + ... + 9743.

Almost surely, 2^10000400 is an apocalyptic number.

10000400 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 10000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12546816).

10000400 is an abundant number, since it is smaller than the sum of its proper divisors (15093232).

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

10000400 is a wasteful number, since it uses less digits than its factorization.

10000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1117 counting only the distinct ones).

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

The square root of 10000400 is about 3162.3409050891. The cubic root of 10000400 is about 215.4463415445.

Adding to 10000400 its reverse (400001), we get a palindrome (10400401).

It can be divided in two parts, 10000 and 400, that multiplied together give a square (4000000 = 2000²).

The spelling of 10000400 in words is "ten million, four hundred", and thus it is an aban number.