10330400 has 72 divisors (see below), whose sum is σ = 25974900. Its totient is φ = 4008960.

The previous prime is 10330393. The next prime is 10330417. The reversal of 10330400 is 403301.

It can be written as a sum of positive squares in 6 ways, for example, as 7246864 + 3083536 = 2692^2 + 1756^2 .

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, 29426 + ... + 29774.

Almost surely, 2^10330400 is an apocalyptic number.

10330400 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 10330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12987450).

10330400 is an abundant number, since it is smaller than the sum of its proper divisors (15644500).

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

10330400 is a wasteful number, since it uses less digits than its factorization.

10330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 10330400 is about 3214.0939625344. The cubic root of 10330400 is about 217.7905571966.

Adding to 10330400 its reverse (403301), we get a palindrome (10733701).

It can be divided in two parts, 103 and 30400, that added together give a palindrome (30503).

The spelling of 10330400 in words is "ten million, three hundred thirty thousand, four hundred".