1458 has 14 divisors (see below), whose sum is σ = 3279. Its totient is φ = 486.

The previous prime is 1453. The next prime is 1459. The reversal of 1458 is 8541.

1458 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in only one way, i.e., 729 + 729 = 27^2 + 27^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=27.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between odd and even.

Its product of digits (160) is a multiple of the sum of its prime divisors (5).

It is a Curzon number.

It is a plaindrome in base 10.

It is a nialpdrome in base 3, base 9, base 13 and base 14.

It is a self number, because there is not a number *n* which added to its sum of digits gives 1458.

It is not an unprimeable number, because it can be changed into a prime (1451) by changing a digit.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 485 + 486 + 487.

1458 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1458

1458 is an abundant number, since it is smaller than the sum of its proper divisors (1821).

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

1458 is an frugal number, since it uses more digits than its factorization.

1458 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20 (or 5 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 1458 is about 38.1837661841. The cubic root of 1458 is about 11.3392894491.

Multiplying 1458 by its sum of digits (18), we get a square (26244 = 162^{2}).

1458 divided by its sum of digits (18) gives a 4-th power (81 = 3^{4}).

Adding to 1458 its reverse (8541), we get a palindrome (9999).

It can be divided in two parts, 145 and 8, that added together give a triangular number (153 = T_{17}).

The spelling of 1458 in words is "one thousand, four hundred fifty-eight".

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