1488288 has 48 divisors (see below), whose sum is σ = 4021920. Its totient is φ = 481536.

The previous prime is 1488241. The next prime is 1488301. The reversal of 1488288 is 8828841.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3343 + ... + 3761.

It is an arithmetic number, because the mean of its divisors is an integer number (83790).

2^1488288 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 1488288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2010960).

1488288 is an abundant number, since it is smaller than the sum of its proper divisors (2533632).

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

1488288 is a wasteful number, since it uses less digits than its factorization.

1488288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 461 counting only the distinct ones).

The product of its digits is 32768, while the sum is 39.

The square root of 1488288 is about 1219.9540974971. The cubic root of 1488288 is about 114.1727144990.

The spelling of 1488288 in words is "one million, four hundred eighty-eight thousand, two hundred eighty-eight".