8450814240 has 720 divisors, whose sum is σ = 34819973496. Its totient is φ = 1922088960.

The previous prime is 8450814233. The next prime is 8450814247. The reversal of 8450814240 is 424180548.

8450814240 is a `hidden beast` number, since 8 + 4 + 508 + 142 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8450814233) and next prime (8450814247).

It can be written as a sum of positive squares in 4 ways, for example, as 5841239184 + 2609575056 = 76428^2 + 51084^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×8450814240² (a number of 21 digits) contains 22 as substring.

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 = 8450814195 and 8450814204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8450814247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 26658562 + ... + 26658878.

Almost surely, 2^8450814240 is an apocalyptic number.

8450814240 is a gapful number since it is divisible by the number (80) 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 8450814240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17409986748).

8450814240 is an abundant number, since it is smaller than the sum of its proper divisors (26369159256).

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

8450814240 is a wasteful number, since it uses less digits than its factorization.

8450814240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 8450814240 is about 91928.3103292995. The cubic root of 8450814240 is about 2036.8834765823.

Adding to 8450814240 its reverse (424180548), we get a palindrome (8874994788).

The spelling of 8450814240 in words is "eight billion, four hundred fifty million, eight hundred fourteen thousand, two hundred forty".