11238480 has 240 divisors, whose sum is σ = 43538880. Its totient is φ = 2661120.

The previous prime is 11238463. The next prime is 11238503. The reversal of 11238480 is 8483211.

11238480 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 tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261339 + ... + 261381.

It is an arithmetic number, because the mean of its divisors is an integer number (181412).

Almost surely, 2^11238480 is an apocalyptic number.

11238480 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 11238480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21769440).

11238480 is an abundant number, since it is smaller than the sum of its proper divisors (32300400).

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

11238480 is a wasteful number, since it uses less digits than its factorization.

11238480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 11238480 is about 3352.3842261889. The cubic root of 11238480 is about 223.9937285659.

The spelling of 11238480 in words is "eleven million, two hundred thirty-eight thousand, four hundred eighty".