11400480 has 384 divisors, whose sum is σ = 50803200. Its totient is φ = 2322432.

The previous prime is 11400469. The next prime is 11400481. The reversal of 11400480 is 8400411.

11400480 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 is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11400481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 393106 + ... + 393134.

It is an arithmetic number, because the mean of its divisors is an integer number (132300).

Almost surely, 2^11400480 is an apocalyptic number.

11400480 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 11400480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25401600).

11400480 is an abundant number, since it is smaller than the sum of its proper divisors (39402720).

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

11400480 is a wasteful number, since it uses less digits than its factorization.

11400480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 11400480 is about 3376.4596843439. The cubic root of 11400480 is about 225.0648701842.

Adding to 11400480 its reverse (8400411), we get a palindrome (19800891).

The spelling of 11400480 in words is "eleven million, four hundred thousand, four hundred eighty".