451136 has 56 divisors (see below), whose sum is σ = 1097280. Its totient is φ = 179712.

The previous prime is 451109. The next prime is 451159. The reversal of 451136 is 631154.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

451136 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 7 ways as a sum of consecutive naturals, for example, 8486 + ... + 8538.

2⁴⁵¹¹³⁶ 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 451136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548640).

451136 is an abundant number, since it is smaller than the sum of its proper divisors (646144).

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

451136 is a wasteful number, since it uses less digits than its factorization.

451136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 81 counting only the distinct ones).

The product of its digits is 360, while the sum is 20.

The square root of 451136 is about 671.6665839537. Note that the first 3 decimals coincide. The cubic root of 451136 is about 76.6953725733.

The spelling of 451136 in words is "four hundred fifty-one thousand, one hundred thirty-six".