451354454320 has 160 divisors (see below), whose sum is σ = 1311371066880. Its totient is φ = 140356177920.

The previous prime is 451354454311. The next prime is 451354454321. The reversal of 451354454320 is 23454453154.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (451354454321) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2582671 + ... + 2751889.

It is an arithmetic number, because the mean of its divisors is an integer number (8196069168).

Almost surely, 2^451354454320 is an apocalyptic number.

451354454320 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 451354454320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655685533440).

451354454320 is an abundant number, since it is smaller than the sum of its proper divisors (860016612560).

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

451354454320 is a wasteful number, since it uses less digits than its factorization.

451354454320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169683 (or 169677 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 40.

The spelling of 451354454320 in words is "four hundred fifty-one billion, three hundred fifty-four million, four hundred fifty-four thousand, three hundred twenty".