11300480 has 32 divisors (see below), whose sum is σ = 27016740. Its totient is φ = 4519936.

The previous prime is 11300479. The next prime is 11300483. The reversal of 11300480 is 8400311.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10394176 + 906304 = 3224^2 + 952^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (11300483) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8189 + ... + 9468.

Almost surely, 2^11300480 is an apocalyptic number.

11300480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11300480 is an abundant number, since it is smaller than the sum of its proper divisors (15716260).

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

11300480 is an equidigital number, since it uses as much as digits as its factorization.

11300480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17676 (or 17664 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 11300480 is about 3361.6186577302. The cubic root of 11300480 is about 224.4048799834.

Adding to 11300480 its reverse (8400311), we get a palindrome (19700791).

The spelling of 11300480 in words is "eleven million, three hundred thousand, four hundred eighty".