453680 has 40 divisors (see below), whose sum is σ = 1084752. Its totient is φ = 176384.

The previous prime is 453671. The next prime is 453683. The reversal of 453680 is 86354.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (453683) by changing a digit.

453680 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, 4187 + ... + 4293.

2⁴⁵³⁶⁸⁰ is an apocalyptic number.

453680 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 453680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542376).

453680 is an abundant number, since it is smaller than the sum of its proper divisors (631072).

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

453680 is a wasteful number, since it uses less digits than its factorization.

453680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 453680 is about 673.5577183880. The cubic root of 453680 is about 76.8392666678.

It can be divided in two parts, 45 and 3680, that multiplied together give a triangular number (165600 = T₅₇₅).

The spelling of 453680 in words is "four hundred fifty-three thousand, six hundred eighty".