451311020 has 48 divisors (see below), whose sum is σ = 987614208. Its totient is φ = 173042880.

The previous prime is 451310999. The next prime is 451311023. The reversal of 451311020 is 20113154.

It is a self number, because there is not a number n which added to its sum of digits gives 451311020.

It is not an unprimeable number, because it can be changed into a prime (451311023) 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 15 ways as a sum of consecutive naturals, for example, 62939 + ... + 69741.

It is an arithmetic number, because the mean of its divisors is an integer number (20575296).

Almost surely, 2^451311020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451311020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493807104).

451311020 is an abundant number, since it is smaller than the sum of its proper divisors (536303188).

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

451311020 is a wasteful number, since it uses less digits than its factorization.

451311020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6950 (or 6948 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 451311020 is about 21244.0819994652. The cubic root of 451311020 is about 767.0528938227.

Adding to 451311020 its reverse (20113154), we get a palindrome (471424174).

The spelling of 451311020 in words is "four hundred fifty-one million, three hundred eleven thousand, twenty".