453628 has 24 divisors (see below), whose sum is σ = 961632. Its totient is φ = 182784.

The previous prime is 453617. The next prime is 453631. The reversal of 453628 is 826354.

453628 is a nontrivial binomial coefficient, being equal to C(953, 2).

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

It is a junction number, because it is equal to n+sod(n) for n = 453596 and 453605.

It is a congruent number.

It is an unprimeable number.

453628 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 7 ways as a sum of consecutive naturals, for example, 1 + ... + 952.

It is an arithmetic number, because the mean of its divisors is an integer number (40068).

2⁴⁵³⁶²⁸ is an apocalyptic number.

453628 is the 952-nd triangular number.

453628 is the 318-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 453628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480816).

453628 is an abundant number, since it is smaller than the sum of its proper divisors (508004).

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

453628 is a wasteful number, since it uses less digits than its factorization.

453628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 979 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 453628 is about 673.5191162840. The cubic root of 453628 is about 76.8363308287.

It can be divided in two parts, 453 and 628, that added together give a triangular number (1081 = T₄₆).

The spelling of 453628 in words is "four hundred fifty-three thousand, six hundred twenty-eight".