451328000 has 192 divisors, whose sum is σ = 1180539360. Its totient is φ = 172032000.

The previous prime is 451327999. The next prime is 451328047. The reversal of 451328000 is 823154.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10495979 + ... + 10496021.

Almost surely, 2^451328000 is an apocalyptic number.

451328000 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 451328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590269680).

451328000 is an abundant number, since it is smaller than the sum of its proper divisors (729211360).

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

451328000 is an equidigital number, since it uses as much as digits as its factorization.

451328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 451328000 is about 21244.4816364156. The cubic root of 451328000 is about 767.0625134968.

The spelling of 451328000 in words is "four hundred fifty-one million, three hundred twenty-eight thousand".