450540 has 36 divisors (see below), whose sum is σ = 1367184. Its totient is φ = 120096.

The previous prime is 450533. The next prime is 450557. The reversal of 450540 is 45054.

450540 = 86² + 87² + ... + 125².

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

450540 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1072 + ... + 1431.

2⁴⁵⁰⁵⁴⁰ is an apocalyptic number.

It is an amenable number.

450540 is an abundant number, since it is smaller than the sum of its proper divisors (916644).

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

450540 is a wasteful number, since it uses less digits than its factorization.

450540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2518 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 450540 is about 671.2227648106. Note that the first 3 decimals coincide. The cubic root of 450540 is about 76.6615833639.

Adding to 450540 its reverse (45054), we get a palindrome (495594).

It can be divided in two parts, 450 and 540, that added together give a triangular number (990 = T₄₄).

The spelling of 450540 in words is "four hundred fifty thousand, five hundred forty".