11457380 has 48 divisors (see below), whose sum is σ = 27639360. Its totient is φ = 3945600.

The previous prime is 11457367. The next prime is 11457401. The reversal of 11457380 is 8375411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2810 + ... + 5550.

It is an arithmetic number, because the mean of its divisors is an integer number (575820).

Almost surely, 2^11457380 is an apocalyptic number.

11457380 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 11457380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13819680).

11457380 is an abundant number, since it is smaller than the sum of its proper divisors (16181980).

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

11457380 is a wasteful number, since it uses less digits than its factorization.

11457380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2780 (or 2778 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 11457380 is about 3384.8751823369. The cubic root of 11457380 is about 225.4386832366.

The spelling of 11457380 in words is "eleven million, four hundred fifty-seven thousand, three hundred eighty".