8295261408 has 384 divisors, whose sum is σ = 28612362240. Its totient is φ = 2289047040.

The previous prime is 8295261383. The next prime is 8295261463. The reversal of 8295261408 is 8041625928.

8295261408 is a `hidden beast` number, since 8 + 29 + 5 + 2 + 614 + 0 + 8 = 666.

It is a super-2 number, since 2×8295261408² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43430593 + ... + 43430783.

It is an arithmetic number, because the mean of its divisors is an integer number (74511360).

Almost surely, 2^8295261408 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 8295261408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14306181120).

8295261408 is an abundant number, since it is smaller than the sum of its proper divisors (20317100832).

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

8295261408 is a wasteful number, since it uses less digits than its factorization.

8295261408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 8295261408 is about 91078.3256763101. The cubic root of 8295261408 is about 2024.3084694957.

The spelling of 8295261408 in words is "eight billion, two hundred ninety-five million, two hundred sixty-one thousand, four hundred eight".