11457280 has 36 divisors (see below), whose sum is σ = 27446832. Its totient is φ = 4582400.

The previous prime is 11457263. The next prime is 11457283. The reversal of 11457280 is 8275411.

It is not an unprimeable number, because it can be changed into a prime (11457283) 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, 3196 + ... + 5755.

It is an arithmetic number, because the mean of its divisors is an integer number (762412).

Almost surely, 2^11457280 is an apocalyptic number.

11457280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11457280 is an abundant number, since it is smaller than the sum of its proper divisors (15989552).

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

11457280 is an frugal number, since it uses more digits than its factorization.

11457280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8972 (or 8958 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 11457280 is about 3384.8604107112. The cubic root of 11457280 is about 225.4380273585.

The spelling of 11457280 in words is "eleven million, four hundred fifty-seven thousand, two hundred eighty".