451300000 has 72 divisors (see below), whose sum is σ = 1110796092. Its totient is φ = 180480000.

The previous prime is 451299949. The next prime is 451300009. The reversal of 451300000 is 3154.

It can be written as a sum of positive squares in 6 ways, for example, as 203804176 + 247495824 = 14276^2 + 15732^2 .

It is not an unprimeable number, because it can be changed into a prime (451300009) 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, 97744 + ... + 102256.

Almost surely, 2^451300000 is an apocalyptic number.

451300000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555398046).

451300000 is an abundant number, since it is smaller than the sum of its proper divisors (659496092).

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

451300000 is an frugal number, since it uses more digits than its factorization.

451300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4548 (or 4520 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 451300000 is about 21243.8226315322. The cubic root of 451300000 is about 767.0466505364.

Adding to 451300000 its reverse (3154), we get a palindrome (451303154).

The spelling of 451300000 in words is "four hundred fifty-one million, three hundred thousand".