11257280 has 56 divisors (see below), whose sum is σ = 27115008. Its totient is φ = 4451328.

The previous prime is 11257243. The next prime is 11257313. The reversal of 11257280 is 8275211.

11257280 = 44³ + 45³ + ... + 83³.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40502 + ... + 40778.

Almost surely, 2^11257280 is an apocalyptic number.

11257280 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 11257280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13557504).

11257280 is an abundant number, since it is smaller than the sum of its proper divisors (15857728).

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

11257280 is a wasteful number, since it uses less digits than its factorization.

11257280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 26.

The square root of 11257280 is about 3355.1870290641. The cubic root of 11257280 is about 224.1185596861.

The spelling of 11257280 in words is "eleven million, two hundred fifty-seven thousand, two hundred eighty".