451438080 has 160 divisors (see below), whose sum is σ = 1477833984. Its totient is φ = 117497856.

The previous prime is 451438069. The next prime is 451438109. The reversal of 451438080 is 80834154.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 329557 + ... + 330923.

Almost surely, 2^451438080 is an apocalyptic number.

451438080 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 451438080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738916992).

451438080 is an abundant number, since it is smaller than the sum of its proper divisors (1026395904).

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

451438080 is a wasteful number, since it uses less digits than its factorization.

451438080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 451438080 is about 21247.0722689033. The cubic root of 451438080 is about 767.1248712333.

The spelling of 451438080 in words is "four hundred fifty-one million, four hundred thirty-eight thousand, eighty".