11390400 has 252 divisors, whose sum is σ = 46677072. Its totient is φ = 2580480.

The previous prime is 11390381. The next prime is 11390411. The reversal of 11390400 is 409311.

11390400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 100744 + ... + 100856.

Almost surely, 2^11390400 is an apocalyptic number.

11390400 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 11390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23338536).

11390400 is an abundant number, since it is smaller than the sum of its proper divisors (35286672).

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

11390400 is a wasteful number, since it uses less digits than its factorization.

11390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 11390400 is about 3374.9666665021. The cubic root of 11390400 is about 224.9985185088.

Adding to 11390400 its reverse (409311), we get a palindrome (11799711).

The spelling of 11390400 in words is "eleven million, three hundred ninety thousand, four hundred".