8270254440 has 256 divisors, whose sum is σ = 32876236800. Its totient is φ = 1808116992.

The previous prime is 8270254429. The next prime is 8270254441. The reversal of 8270254440 is 444520728.

8270254440 is a `hidden beast` number, since 8 + 2 + 70 + 2 + 544 + 40 = 666.

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 = 8270254395 and 8270254404.

It is not an unprimeable number, because it can be changed into a prime (8270254441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 150099 + ... + 197661.

It is an arithmetic number, because the mean of its divisors is an integer number (128422800).

Almost surely, 2^8270254440 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 8270254440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16438118400).

8270254440 is an abundant number, since it is smaller than the sum of its proper divisors (24605982360).

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

8270254440 is a wasteful number, since it uses less digits than its factorization.

8270254440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47613 (or 47603 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 8270254440 is about 90940.9392957869. The cubic root of 8270254440 is about 2022.2722559550.

The spelling of 8270254440 in words is "eight billion, two hundred seventy million, two hundred fifty-four thousand, four hundred forty".