27450 has 36 divisors (see below), whose sum is σ = 74958. Its totient is φ = 7200.

The previous prime is 27449. The next prime is 27457. The reversal of 27450 is 5472.

It is a happy number.

27450 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 3 ways, for example, as 12321 + 15129 = 111^2 + 123^2 .

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 even and odd.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (27457) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 420 + ... + 480.

2²⁷⁴⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37479).

27450 is an abundant number, since it is smaller than the sum of its proper divisors (47508).

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

27450 is a wasteful number, since it uses less digits than its factorization.

27450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 27450 is about 165.6804152578. The cubic root of 27450 is about 30.1657492200.

Adding to 27450 its product of nonzero digits (280), we get a triangular number (27730 = T₂₃₅).

It can be divided in two parts, 274 and 50, that added together give a square (324 = 18²).

The spelling of 27450 in words is "twenty-seven thousand, four hundred fifty".