451368000 has 168 divisors, whose sum is σ = 1614876120. Its totient is φ = 120345600.

The previous prime is 451367989. The next prime is 451368017. The reversal of 451368000 is 863154.

It can be written as a sum of positive squares in 4 ways, for example, as 41062464 + 410305536 = 6408^2 + 20256^2 .

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 23 ways as a sum of consecutive naturals, for example, 68866 + ... + 75134.

Almost surely, 2^451368000 is an apocalyptic number.

451368000 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 451368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807438060).

451368000 is an abundant number, since it is smaller than the sum of its proper divisors (1163508120).

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

451368000 is a wasteful number, since it uses less digits than its factorization.

451368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6302 (or 6279 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 451368000 is about 21245.4230365037. The cubic root of 451368000 is about 767.0851737307.

The spelling of 451368000 in words is "four hundred fifty-one million, three hundred sixty-eight thousand".