11730400 has 144 divisors (see below), whose sum is σ = 32997888. Its totient is φ = 4032000.

The previous prime is 11730377. The next prime is 11730409. The reversal of 11730400 is 403711.

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 (11730409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272779 + ... + 272821.

It is an arithmetic number, because the mean of its divisors is an integer number (229152).

Almost surely, 2^11730400 is an apocalyptic number.

11730400 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 11730400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16498944).

11730400 is an abundant number, since it is smaller than the sum of its proper divisors (21267488).

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

11730400 is a wasteful number, since it uses less digits than its factorization.

11730400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 11730400 is about 3424.9671531272. The cubic root of 11730400 is about 227.2153183483.

The spelling of 11730400 in words is "eleven million, seven hundred thirty thousand, four hundred".