453768 has 64 divisors (see below), whose sum is σ = 1349760. Its totient is φ = 124416.

The previous prime is 453757. The next prime is 453797. The reversal of 453768 is 867354.

Its product of digits (20160) is a multiple of the sum of its prime factors (126).

It is a nialpdrome in base 14.

It is an unprimeable number.

453768 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 15 ways as a sum of consecutive naturals, for example, 6180 + ... + 6252.

It is an arithmetic number, because the mean of its divisors is an integer number (21090).

2⁴⁵³⁷⁶⁸ 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 453768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674880).

453768 is an abundant number, since it is smaller than the sum of its proper divisors (895992).

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

453768 is a wasteful number, since it uses less digits than its factorization.

453768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 122 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 453768 is about 673.6230399860. The cubic root of 453768 is about 76.8442345000.

It can be divided in two parts, 453 and 768, that added together give a palindrome (1221).

The spelling of 453768 in words is "four hundred fifty-three thousand, seven hundred sixty-eight".