451160640 has 504 divisors, whose sum is σ = 1897197120. Its totient is φ = 97929216.

The previous prime is 451160621. The next prime is 451160651. The reversal of 451160640 is 46061154.

451160640 is a `hidden beast` number, since 4 + 5 + 1 + 16 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 71 ways as a sum of consecutive naturals, for example, 3245691 + ... + 3245829.

It is an arithmetic number, because the mean of its divisors is an integer number (3764280).

Almost surely, 2^451160640 is an apocalyptic number.

451160640 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 451160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948598560).

451160640 is an abundant number, since it is smaller than the sum of its proper divisors (1446036480).

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

451160640 is a wasteful number, since it uses less digits than its factorization.

451160640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 451160640 is about 21240.5423659567. The cubic root of 451160640 is about 766.9676885554.

The spelling of 451160640 in words is "four hundred fifty-one million, one hundred sixty thousand, six hundred forty".