11446380 has 192 divisors, whose sum is σ = 40642560. Its totient is φ = 2649600.

The previous prime is 11446361. The next prime is 11446381. The reversal of 11446380 is 8364411.

11446380 is digitally balanced in base 2, because in such base 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 (27).

It is not an unprimeable number, because it can be changed into a prime (11446381) 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, 243517 + ... + 243563.

It is an arithmetic number, because the mean of its divisors is an integer number (211680).

Almost surely, 2^11446380 is an apocalyptic number.

11446380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11446380 is the 1692-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11446380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20321280).

11446380 is an abundant number, since it is smaller than the sum of its proper divisors (29196180).

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

11446380 is a wasteful number, since it uses less digits than its factorization.

11446380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 11446380 is about 3383.2499168699. The cubic root of 11446380 is about 225.3665137543.

The spelling of 11446380 in words is "eleven million, four hundred forty-six thousand, three hundred eighty".