11457940 has 48 divisors (see below), whose sum is σ = 26191872. Its totient is φ = 4185216.

The previous prime is 11457937. The next prime is 11457947. The reversal of 11457940 is 4975411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11457947) by changing a digit.

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, 32847 + ... + 33193.

It is an arithmetic number, because the mean of its divisors is an integer number (545664).

Almost surely, 2^11457940 is an apocalyptic number.

11457940 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 11457940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13095936).

11457940 is an abundant number, since it is smaller than the sum of its proper divisors (14733932).

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

11457940 is a wasteful number, since it uses less digits than its factorization.

11457940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 11457940 is about 3384.9579022493. The cubic root of 11457940 is about 225.4423560835.

The spelling of 11457940 in words is "eleven million, four hundred fifty-seven thousand, nine hundred forty".