1459728 has 80 divisors (see below), whose sum is σ = 4364800. Its totient is φ = 466560.

The previous prime is 1459727. The next prime is 1459771. The reversal of 1459728 is 8279541.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1459692 and 1459701.

It is not an unprimeable number, because it can be changed into a prime (1459727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13338 + ... + 13446.

It is an arithmetic number, because the mean of its divisors is an integer number (54560).

2^1459728 is an apocalyptic number.

1459728 is a gapful number since it is divisible by the number (18) 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 1459728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2182400).

1459728 is an abundant number, since it is smaller than the sum of its proper divisors (2905072).

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

1459728 is a wasteful number, since it uses less digits than its factorization.

1459728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 145 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 1459728 is about 1208.1920377159. The cubic root of 1459728 is about 113.4376739974.

It can be divided in two parts, 1459 and 728, that added together give a 7-th power (2187 = 3⁷).

The spelling of 1459728 in words is "one million, four hundred fifty-nine thousand, seven hundred twenty-eight".