451088 has 30 divisors (see below), whose sum is σ = 964782. Its totient is φ = 204160.

The previous prime is 451069. The next prime is 451093. The reversal of 451088 is 880154.

It can be written as a sum of positive squares in only one way, i.e., 327184 + 123904 = 572^2 + 352^2 .

It is an unprimeable 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 5 ways as a sum of consecutive naturals, for example, 1820 + ... + 2052.

2⁴⁵¹⁰⁸⁸ 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 451088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482391).

451088 is an abundant number, since it is smaller than the sum of its proper divisors (513694).

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

451088 is a wasteful number, since it uses less digits than its factorization.

451088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 451088 is about 671.6308509888. The cubic root of 451088 is about 76.6926523969.

The spelling of 451088 in words is "four hundred fifty-one thousand, eighty-eight".