451431045 has 48 divisors (see below), whose sum is σ = 850253040. Its totient is φ = 220243968.

The previous prime is 451431011. The next prime is 451431061. The reversal of 451431045 is 540134154.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 131951169 + 319479876 = 11487^2 + 17874^2 .

It is not a de Polignac number, because 451431045 - 2⁸ = 451430789 is a prime.

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 47 ways as a sum of consecutive naturals, for example, 62691 + ... + 69519.

It is an arithmetic number, because the mean of its divisors is an integer number (17713605).

Almost surely, 2^451431045 is an apocalyptic number.

451431045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

451431045 is a deficient number, since it is larger than the sum of its proper divisors (398821995).

451431045 is a wasteful number, since it uses less digits than its factorization.

451431045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6966 (or 6963 counting only the distinct ones).

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

The square root of 451431045 is about 21246.9067160375. The cubic root of 451431045 is about 767.1208863742.

Adding to 451431045 its reverse (540134154), we get a palindrome (991565199).

The spelling of 451431045 in words is "four hundred fifty-one million, four hundred thirty-one thousand, forty-five".