8251408 has 40 divisors (see below), whose sum is σ = 17606016. Its totient is φ = 3715200.

The previous prime is 8251403. The next prime is 8251421. The reversal of 8251408 is 8041528.

It is not an unprimeable number, because it can be changed into a prime (8251403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30313 + ... + 30583.

Almost surely, 2^8251408 is an apocalyptic number.

8251408 is a gapful number since it is divisible by the number (88) 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 8251408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8803008).

8251408 is an abundant number, since it is smaller than the sum of its proper divisors (9354608).

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

8251408 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (8251407) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (463).

8251408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 8251408 is about 2872.5264141518. The cubic root of 8251408 is about 202.0734954600.

The spelling of 8251408 in words is "eight million, two hundred fifty-one thousand, four hundred eight".