451964900 has 72 divisors (see below), whose sum is σ = 1005680424. Its totient is φ = 176256000.

The previous prime is 451964869. The next prime is 451964911. The reversal of 451964900 is 9469154.

It can be written as a sum of positive squares in 12 ways, for example, as 132342016 + 319622884 = 11504^2 + 17878^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 736994 + ... + 737606.

Almost surely, 2^451964900 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 451964900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502840212).

451964900 is an abundant number, since it is smaller than the sum of its proper divisors (553715524).

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

451964900 is a wasteful number, since it uses less digits than its factorization.

451964900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 451964900 is about 21259.4661268810. The cubic root of 451964900 is about 767.4231621379.

The spelling of 451964900 in words is "four hundred fifty-one million, nine hundred sixty-four thousand, nine hundred".