8250408000 has 672 divisors, whose sum is σ = 32101779840. Its totient is φ = 2015539200.

The previous prime is 8250407999. The next prime is 8250408007. The reversal of 8250408000 is 8040528.

8250408000 is a `hidden beast` number, since 8 + 250 + 408 + 0 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (8250408007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50615919 + ... + 50616081.

Almost surely, 2^8250408000 is an apocalyptic number.

8250408000 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 8250408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16050889920).

8250408000 is an abundant number, since it is smaller than the sum of its proper divisors (23851371840).

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

8250408000 is a wasteful number, since it uses less digits than its factorization.

8250408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 8250408000 is about 90831.7565612380. The cubic root of 8250408000 is about 2020.6533193767.

Adding to 8250408000 its reverse (8040528), we get a palindrome (8258448528).

The spelling of 8250408000 in words is "eight billion, two hundred fifty million, four hundred eight thousand".