11490400 has 72 divisors (see below), whose sum is σ = 28685664. Its totient is φ = 4492800.

The previous prime is 11490397. The next prime is 11490407. The reversal of 11490400 is 409411.

11490400 = T₁₄₅ + T₁₄₆ + ... + T₄₁₅.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11490407) 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 11 ways as a sum of consecutive naturals, for example, 42265 + ... + 42535.

It is an arithmetic number, because the mean of its divisors is an integer number (398412).

Almost surely, 2^11490400 is an apocalyptic number.

11490400 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 11490400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14342832).

11490400 is an abundant number, since it is smaller than the sum of its proper divisors (17195264).

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

11490400 is a wasteful number, since it uses less digits than its factorization.

11490400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 11490400 is about 3389.7492532634. The cubic root of 11490400 is about 225.6550458372.

Adding to 11490400 its reverse (409411), we get a palindrome (11899811).

It can be divided in two parts, 1 and 1490400, that added together give a triangular number (1490401 = T₁₇₂₆).

The spelling of 11490400 in words is "eleven million, four hundred ninety thousand, four hundred".