451120800 has 288 divisors, whose sum is σ = 1666768320. Its totient is φ = 105062400.

The previous prime is 451120793. The next prime is 451120811. The reversal of 451120800 is 8021154.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 592420 + ... + 593180.

It is an arithmetic number, because the mean of its divisors is an integer number (5787390).

Almost surely, 2^451120800 is an apocalyptic number.

451120800 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 451120800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833384160).

451120800 is an abundant number, since it is smaller than the sum of its proper divisors (1215647520).

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

451120800 is a wasteful number, since it uses less digits than its factorization.

451120800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 451120800 is about 21239.6045160921. The cubic root of 451120800 is about 766.9451120498.

Adding to 451120800 its reverse (8021154), we get a palindrome (459141954).

The spelling of 451120800 in words is "four hundred fifty-one million, one hundred twenty thousand, eight hundred".