451530144 has 108 divisors (see below), whose sum is σ = 1390558806. Its totient is φ = 138917376.

The previous prime is 451530139. The next prime is 451530151. The reversal of 451530144 is 441035154.

It is a happy number.

451530144 is a `hidden beast` number, since 4 + 515 + 3 + 0 + 144 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 303177744 + 148352400 = 17412^2 + 12180^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 44034 + ... + 53310.

Almost surely, 2^451530144 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 451530144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695279403).

451530144 is an abundant number, since it is smaller than the sum of its proper divisors (939028662).

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

451530144 is a wasteful number, since it uses less digits than its factorization.

451530144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9319 (or 9295 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 451530144 is about 21249.2386687147. The cubic root of 451530144 is about 767.1770155449.

Adding to 451530144 its reverse (441035154), we get a palindrome (892565298).

The spelling of 451530144 in words is "four hundred fifty-one million, five hundred thirty thousand, one hundred forty-four".