451029712 has 60 divisors (see below), whose sum is σ = 1019255076. Its totient is φ = 192783360.

The previous prime is 451029707. The next prime is 451029713. The reversal of 451029712 is 217920154.

It can be written as a sum of positive squares in 2 ways, for example, as 91699776 + 359329936 = 9576^2 + 18956^2 .

It is a super-2 number, since 2×451029712² = 406855602213605888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451029713) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 511512 + ... + 512392.

Almost surely, 2^451029712 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 451029712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509627538).

451029712 is an abundant number, since it is smaller than the sum of its proper divisors (568225364).

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

451029712 is a wasteful number, since it uses less digits than its factorization.

451029712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1543 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 451029712 is about 21237.4601117930. The cubic root of 451029712 is about 766.8934893663.

Adding to 451029712 its reverse (217920154), we get a palindrome (668949866).

The spelling of 451029712 in words is "four hundred fifty-one million, twenty-nine thousand, seven hundred twelve".