1481584 has 40 divisors (see below), whose sum is σ = 3281040. Its totient is φ = 642048.

The previous prime is 1481573. The next prime is 1481603. The reversal of 1481584 is 4851841.

It is a super-2 number, since 2×1481584² = 4390182298112, which contains 22 as substring.

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, 3327 + ... + 3745.

It is an arithmetic number, because the mean of its divisors is an integer number (82026).

2^1481584 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 1481584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640520).

1481584 is an abundant number, since it is smaller than the sum of its proper divisors (1799456).

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

1481584 is a wasteful number, since it uses less digits than its factorization.

1481584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 451 counting only the distinct ones).

The product of its digits is 5120, while the sum is 31.

The square root of 1481584 is about 1217.2033519507. The cubic root of 1481584 is about 114.0010259475.

It can be divided in two parts, 148 and 1584, that multiplied together give a palindrome (234432).

The spelling of 1481584 in words is "one million, four hundred eighty-one thousand, five hundred eighty-four".