451514420 has 72 divisors (see below), whose sum is σ = 1123925544. Its totient is φ = 151866624.

The previous prime is 451514389. The next prime is 451514431. The reversal of 451514420 is 24415154.

It can be written as a sum of positive squares in 4 ways, for example, as 11102224 + 440412196 = 3332^2 + 20986^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 451514420.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47594 + ... + 56286.

It is an arithmetic number, because the mean of its divisors is an integer number (15610077).

Almost surely, 2^451514420 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 451514420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561962772).

451514420 is an abundant number, since it is smaller than the sum of its proper divisors (672411124).

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

451514420 is a wasteful number, since it uses less digits than its factorization.

451514420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8769 (or 8760 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 451514420 is about 21248.8686757672. The cubic root of 451514420 is about 767.1681100993.

Adding to 451514420 its reverse (24415154), we get a palindrome (475929574).

The spelling of 451514420 in words is "four hundred fifty-one million, five hundred fourteen thousand, four hundred twenty".