453840 has 80 divisors (see below), whose sum is σ = 1476096. Its totient is φ = 115200.

The previous prime is 453833. The next prime is 453847. The reversal of 453840 is 48354.

It is a happy number.

453840 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (453833) and next prime (453847).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 453840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (453847) 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, 7410 + ... + 7470.

2⁴⁵³⁸⁴⁰ is an apocalyptic number.

453840 is a gapful number since it is divisible by the number (40) 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 453840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738048).

453840 is an abundant number, since it is smaller than the sum of its proper divisors (1022256).

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

453840 is a wasteful number, since it uses less digits than its factorization.

453840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 453840 is about 673.6764802188. The cubic root of 453840 is about 76.8482986123.

The spelling of 453840 in words is "four hundred fifty-three thousand, eight hundred forty".