451921248000 has 1152 divisors, whose sum is σ = 1735640524800. Its totient is φ = 115734528000.

The previous prime is 451921247993. The next prime is 451921248001. The reversal of 451921248000 is 842129154.

451921248000 is a `hidden beast` number, since 451 + 9 + 2 + 124 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451921248001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3251231931 + ... + 3251232069.

It is an arithmetic number, because the mean of its divisors is an integer number (1506632400).

Almost surely, 2^451921248000 is an apocalyptic number.

451921248000 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 451921248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867820262400).

451921248000 is an abundant number, since it is smaller than the sum of its proper divisors (1283719276800).

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

451921248000 is a wasteful number, since it uses less digits than its factorization.

451921248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 273 counting only the distinct ones).

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

The spelling of 451921248000 in words is "four hundred fifty-one billion, nine hundred twenty-one million, two hundred forty-eight thousand".