11400264 has 80 divisors (see below), whose sum is σ = 32503020. Its totient is φ = 3732480.

The previous prime is 11400239. The next prime is 11400283. The reversal of 11400264 is 46200411.

11400264 is a `hidden beast` number, since 1 + 1 + 400 + 264 = 666.

11400264 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11088900 + 311364 = 3330^2 + 558^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47184 + ... + 47424.

Almost surely, 2^11400264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11400264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16251510).

11400264 is an abundant number, since it is smaller than the sum of its proper divisors (21102756).

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

11400264 is a wasteful number, since it uses less digits than its factorization.

11400264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 11400264 is about 3376.4276980264. The cubic root of 11400264 is about 225.0634487728.

Adding to 11400264 its reverse (46200411), we get a palindrome (57600675).

It can be divided in two parts, 11400 and 264, that added together give a square (11664 = 108²).

The spelling of 11400264 in words is "eleven million, four hundred thousand, two hundred sixty-four".