453684 has 48 divisors (see below), whose sum is σ = 1322496. Its totient is φ = 117600.

The previous prime is 453683. The next prime is 453703. The reversal of 453684 is 486354.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 453684.

It is not an unprimeable number, because it can be changed into a prime (453683) 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, 679 + ... + 1169.

It is an arithmetic number, because the mean of its divisors is an integer number (27552).

2⁴⁵³⁶⁸⁴ is an apocalyptic number.

453684 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 453684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661248).

453684 is an abundant number, since it is smaller than the sum of its proper divisors (868812).

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

453684 is a wasteful number, since it uses less digits than its factorization.

453684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 514 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 453684 is about 673.5606876889. The cubic root of 453684 is about 76.8394924923.

The spelling of 453684 in words is "four hundred fifty-three thousand, six hundred eighty-four".