8457927408 has 240 divisors, whose sum is σ = 28457035776. Its totient is φ = 2294023680.

The previous prime is 8457927407. The next prime is 8457927427. The reversal of 8457927408 is 8047297548.

It is a happy number.

8457927408 is a `hidden beast` number, since 8 + 4 + 579 + 27 + 40 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8457927407) 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 47 ways as a sum of consecutive naturals, for example, 1653591 + ... + 1658697.

Almost surely, 2^8457927408 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 8457927408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14228517888).

8457927408 is an abundant number, since it is smaller than the sum of its proper divisors (19999108368).

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

8457927408 is a wasteful number, since it uses less digits than its factorization.

8457927408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5212 (or 5203 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The square root of 8457927408 is about 91966.9908608518. The cubic root of 8457927408 is about 2037.4548073733.

The spelling of 8457927408 in words is "eight billion, four hundred fifty-seven million, nine hundred twenty-seven thousand, four hundred eight".