453288 has 64 divisors (see below), whose sum is σ = 1321920. Its totient is φ = 128000.

The previous prime is 453269. The next prime is 453289. The reversal of 453288 is 882354.

It is a Sastry number since concatenated with its successor gives a square.

It is not an unprimeable number, because it can be changed into a prime (453289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4438 + ... + 4538.

It is an arithmetic number, because the mean of its divisors is an integer number (20655).

2⁴⁵³²⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 453288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660960).

453288 is an abundant number, since it is smaller than the sum of its proper divisors (868632).

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

453288 is a wasteful number, since it uses less digits than its factorization.

453288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 134 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 453288 is about 673.2666633660. The cubic root of 453288 is about 76.8171294257.

It can be divided in two parts, 453 and 288, that added together give a triangular number (741 = T₃₈).

The spelling of 453288 in words is "four hundred fifty-three thousand, two hundred eighty-eight".