451568 has 30 divisors (see below), whose sum is σ = 953064. Its totient is φ = 207168.

The previous prime is 451553. The next prime is 451579. The reversal of 451568 is 865154.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 451568.

It is a congruent number.

It is an unprimeable number.

451568 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 (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2621 + ... + 2787.

2⁴⁵¹⁵⁶⁸ 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 451568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476532).

451568 is an abundant number, since it is smaller than the sum of its proper divisors (501496).

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

451568 is a wasteful number, since it uses less digits than its factorization.

451568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 182 counting only the distinct ones).

The product of its digits is 4800, while the sum is 29.

The square root of 451568 is about 671.9880951326. The cubic root of 451568 is about 76.7198454823.

The spelling of 451568 in words is "four hundred fifty-one thousand, five hundred sixty-eight".