11420400 has 120 divisors (see below), whose sum is σ = 37886464. Its totient is φ = 2937600.

The previous prime is 11420393. The next prime is 11420401. The reversal of 11420400 is 402411.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11420401) 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 23 ways as a sum of consecutive naturals, for example, 37047 + ... + 37353.

Almost surely, 2^11420400 is an apocalyptic number.

11420400 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 11420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18943232).

11420400 is an abundant number, since it is smaller than the sum of its proper divisors (26466064).

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

11420400 is a wasteful number, since it uses less digits than its factorization.

11420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 11420400 is about 3379.4082322205. The cubic root of 11420400 is about 225.1958788065.

Adding to 11420400 its reverse (402411), we get a palindrome (11822811).

The spelling of 11420400 in words is "eleven million, four hundred twenty thousand, four hundred".