11407488 has 64 divisors (see below), whose sum is σ = 30861120. Its totient is φ = 3732480.

The previous prime is 11407457. The next prime is 11407519. The reversal of 11407488 is 88470411.

It is an interprime number because it is at equal distance from previous prime (11407457) and next prime (11407519).

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23181 + ... + 23667.

It is an arithmetic number, because the mean of its divisors is an integer number (482205).

Almost surely, 2^11407488 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 11407488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15430560).

11407488 is an abundant number, since it is smaller than the sum of its proper divisors (19453632).

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

11407488 is an equidigital number, since it uses as much as digits as its factorization.

11407488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 11407488 is about 3377.4972982965. The cubic root of 11407488 is about 225.1109773521.

Adding to 11407488 its reverse (88470411), we get a palindrome (99877899).

The spelling of 11407488 in words is "eleven million, four hundred seven thousand, four hundred eighty-eight".