451375020 has 144 divisors (see below), whose sum is σ = 1450874880. Its totient is φ = 113270400.

The previous prime is 451375019. The next prime is 451375031. The reversal of 451375020 is 20573154.

It is a happy number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 652875 + ... + 653565.

It is an arithmetic number, because the mean of its divisors is an integer number (10075520).

Almost surely, 2^451375020 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 451375020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725437440).

451375020 is an abundant number, since it is smaller than the sum of its proper divisors (999499860).

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

451375020 is a wasteful number, since it uses less digits than its factorization.

451375020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 451375020 is about 21245.5882479163. The cubic root of 451375020 is about 767.0891504637.

The spelling of 451375020 in words is "four hundred fifty-one million, three hundred seventy-five thousand, twenty".