451506028800 has 432 divisors, whose sum is σ = 1575056689920. Its totient is φ = 113587200000.

The previous prime is 451506028777. The next prime is 451506028843. The reversal of 451506028800 is 8820605154.

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 47 ways as a sum of consecutive naturals, for example, 91562335 + ... + 91567265.

It is an arithmetic number, because the mean of its divisors is an integer number (3645964560).

Almost surely, 2^451506028800 is an apocalyptic number.

451506028800 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 451506028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787528344960).

451506028800 is an abundant number, since it is smaller than the sum of its proper divisors (1123550661120).

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

451506028800 is a wasteful number, since it uses less digits than its factorization.

451506028800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5230 (or 5211 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The spelling of 451506028800 in words is "four hundred fifty-one billion, five hundred six million, twenty-eight thousand, eight hundred".