452640 has 96 divisors (see below), whose sum is σ = 1524096. Its totient is φ = 112640.

The previous prime is 452633. The next prime is 452671. The reversal of 452640 is 46254.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 452640.

It is an unprimeable number.

452640 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11020 + ... + 11060.

It is an arithmetic number, because the mean of its divisors is an integer number (15876).

2⁴⁵²⁶⁴⁰ is an apocalyptic number.

452640 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 452640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762048).

452640 is an abundant number, since it is smaller than the sum of its proper divisors (1071456).

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

452640 is a wasteful number, since it uses less digits than its factorization.

452640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 452640 is about 672.7852554865. The cubic root of 452640 is about 76.7805072057.

Adding to 452640 its reverse (46254), we get a palindrome (498894).

The spelling of 452640 in words is "four hundred fifty-two thousand, six hundred forty".