451580672 has 36 divisors (see below), whose sum is σ = 905451120. Its totient is φ = 224775168.

The previous prime is 451580659. The next prime is 451580677. The reversal of 451580672 is 276085154.

It is not an unprimeable number, because it can be changed into a prime (451580677) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54773 + ... + 62475.

It is an arithmetic number, because the mean of its divisors is an integer number (25151420).

Almost surely, 2^451580672 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 451580672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452725560).

451580672 is an abundant number, since it is smaller than the sum of its proper divisors (453870448).

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

451580672 is an equidigital number, since it uses as much as digits as its factorization.

451580672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7948 (or 7934 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 38.

The square root of 451580672 is about 21250.4275721690. The cubic root of 451580672 is about 767.2056311866.

The spelling of 451580672 in words is "four hundred fifty-one million, five hundred eighty thousand, six hundred seventy-two".