Multipling 1540 by its sum of digits (10), we get a triangular number (15400 = T175).
1540 divided by its product of nonzero digits (20) gives a palindrome (77).
Adding to 1540 its reverse (451), we get a palindrome (1991).
Subtracting from 1540 its reverse (451), we obtain a square (1089 = 332).
1540 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.
It is a nialpdrome in base 7 and base 12.
It is the 20-th tetrahedral number.
1540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
1540 is the 19-th centered nonagonal number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1540 is a wasteful number, since it uses less digits than its factorization.
1540 is an odious number, because the sum of its binary digits is odd.
The square root of 1540 is about 39.2428337407. The cubic root of 1540 is about 11.5480035029.
The spelling of 1540 in words is "one thousand, five hundred forty".