1459360 has 48 divisors (see below), whose sum is σ = 3943296. Its totient is φ = 499968.

The previous prime is 1459351. The next prime is 1459369. The reversal of 1459360 is 639541.

It is an interprime number because it is at equal distance from previous prime (1459351) and next prime (1459369).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1459369) 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 7 ways as a sum of consecutive naturals, for example, 469 + ... + 1771.

It is an arithmetic number, because the mean of its divisors is an integer number (82152).

2^1459360 is an apocalyptic number.

1459360 is a gapful number since it is divisible by the number (10) 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 1459360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971648).

1459360 is an abundant number, since it is smaller than the sum of its proper divisors (2483936).

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

1459360 is a wasteful number, since it uses less digits than its factorization.

1459360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 1459360 is about 1208.0397344459. The cubic root of 1459360 is about 113.4281405838.

It can be divided in two parts, 1 and 459360, that added together give a triangular number (459361 = T₉₅₈).

The spelling of 1459360 in words is "one million, four hundred fifty-nine thousand, three hundred sixty".