451448640 has 140 divisors (see below), whose sum is σ = 1605974436. Its totient is φ = 120379392.

The previous prime is 451448593. The next prime is 451448653. The reversal of 451448640 is 46844154.

It is a happy number.

451448640 is a `hidden beast` number, since 4 + 5 + 1 + 4 + 4 + 8 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 313714944 + 137733696 = 17712^2 + 11736^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 451448595 and 451448604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17212 + ... + 34628.

Almost surely, 2^451448640 is an apocalyptic number.

451448640 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 451448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802987218).

451448640 is an abundant number, since it is smaller than the sum of its proper divisors (1154525796).

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

451448640 is a wasteful number, since it uses less digits than its factorization.

451448640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17446 (or 17427 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 451448640 is about 21247.3207722762. The cubic root of 451448640 is about 767.1308526926.

The spelling of 451448640 in words is "four hundred fifty-one million, four hundred forty-eight thousand, six hundred forty".