8257408 has 32 divisors (see below), whose sum is σ = 16989120. Its totient is φ = 3993600.

The previous prime is 8257367. The next prime is 8257409. The reversal of 8257408 is 8047528.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8257409) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2928 + ... + 5008.

It is an arithmetic number, because the mean of its divisors is an integer number (530910).

Almost surely, 2^8257408 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 8257408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8494560).

8257408 is an abundant number, since it is smaller than the sum of its proper divisors (8731712).

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

8257408 is a wasteful number, since it uses less digits than its factorization.

8257408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 8257408 is about 2873.5706011859. The cubic root of 8257408 is about 202.1224627480.

The spelling of 8257408 in words is "eight million, two hundred fifty-seven thousand, four hundred eight".