451164168 has 240 divisors, whose sum is σ = 1584516780. Its totient is φ = 118879488.

The previous prime is 451164167. The next prime is 451164187. The reversal of 451164168 is 861461154.

451164168 is a `hidden beast` number, since 4 + 5 + 1 + 1 + 641 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 442765764 + 8398404 = 21042^2 + 2898^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (451164167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 412230 + ... + 413322.

Almost surely, 2^451164168 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 451164168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792258390).

451164168 is an abundant number, since it is smaller than the sum of its proper divisors (1133352612).

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

451164168 is a wasteful number, since it uses less digits than its factorization.

451164168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1118 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 451164168 is about 21240.6254145211. The cubic root of 451164168 is about 766.9696877361.

It can be divided in two parts, 45116 and 4168, that added together give a square (49284 = 222²).

The spelling of 451164168 in words is "four hundred fifty-one million, one hundred sixty-four thousand, one hundred sixty-eight".