1005488 has 40 divisors (see below), whose sum is σ = 2209680. Its totient is φ = 439040.

The previous prime is 1005481. The next prime is 1005493. The reversal of 1005488 is 8845001.

1005488 is nontrivially palindromic in base 7.

It is a super-2 number, since 2×1005488² = 2022012236288, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1005481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5006 + ... + 5202.

It is an arithmetic number, because the mean of its divisors is an integer number (55242).

2^1005488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104840).

1005488 is an abundant number, since it is smaller than the sum of its proper divisors (1204192).

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

1005488 is a wasteful number, since it uses less digits than its factorization.

1005488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 1005488 is about 1002.7402455272. The cubic root of 1005488 is about 100.1825997039.

The spelling of 1005488 in words is "one million, five thousand, four hundred eighty-eight".