10380400 has 30 divisors (see below), whose sum is σ = 24939872. Its totient is φ = 4152000.

The previous prime is 10380379. The next prime is 10380407. The reversal of 10380400 is 408301.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10380407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12576 + ... + 13375.

Almost surely, 2^10380400 is an apocalyptic number.

10380400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10380400 is an abundant number, since it is smaller than the sum of its proper divisors (14559472).

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

10380400 is a wasteful number, since it uses less digits than its factorization.

10380400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25969 (or 25958 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 10380400 is about 3221.8628152049. The cubic root of 10380400 is about 218.1413666589.

Adding to 10380400 its reverse (408301), we get a palindrome (10788701).

The spelling of 10380400 in words is "ten million, three hundred eighty thousand, four hundred".